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10003002000 = 2435310715581
BaseRepresentation
bin10010101000011100…
…11011001010010000
3221211010102011002120
421110032123022100
5130441232031000
64332331014240
7502612054065
oct112416331220
927733364076
1010003002000
114273485502
121b31b9a380
13c354cb9c4
146ac704c6c
153d82a26a0
hex25439b290

10003002000 has 160 divisors (see below), whose sum is σ = 32553166464. Its totient is φ = 2642368000.

The previous prime is 10003001993. The next prime is 10003002001. The reversal of 10003002000 is 20030001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10003002000.

It is not an unprimeable number, because it can be changed into a prime (10003002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634210 + ... + 649790.

Almost surely, 210003002000 is an apocalyptic number.

10003002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276583232).

10003002000 is an abundant number, since it is smaller than the sum of its proper divisors (22550164464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003002000 is a wasteful number, since it uses less digits than its factorization.

10003002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15714 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 10003002000 its reverse (20030001), we get a palindrome (10023032001).

The spelling of 10003002000 in words is "ten billion, three million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1605 1712 2000 2140 2568 2675 3000 3210 4280 5136 5350 6000 6420 8025 8560 10700 12840 13375 15581 16050 21400 25680 26750 31162 32100 40125 42800 46743 53500 62324 64200 77905 80250 93486 107000 124648 128400 155810 160500 186972 214000 233715 249296 311620 321000 373944 389525 467430 623240 642000 747888 779050 934860 1168575 1246480 1558100 1667167 1869720 1947625 2337150 3116200 3334334 3739440 3895250 4674300 5001501 5842875 6232400 6668668 7790500 8335835 9348600 10003002 11685750 13337336 15581000 16671670 18697200 20006004 23371500 25007505 26674672 31162000 33343340 40012008 41679175 46743000 50015010 66686680 80024016 83358350 93486000 100030020 125037525 133373360 166716700 200060040 208395875 250075050 333433400 400120080 416791750 500150100 625187625 666866800 833583500 1000300200 1250375250 1667167000 2000600400 2500750500 3334334000 5001501000 10003002000