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100202201000 = 23531110190191
BaseRepresentation
bin101110101010010000…
…1000011111110101000
3100120122021010012212122
41131110201003332220
53120203230413000
6114010544530412
710145050440536
oct1352441037650
9316567105778
10100202201000
113954a591770
1217505620a08
1395ab6877c5
144bc7c57156
152916d7b085
hex1754843fa8

100202201000 has 128 divisors (see below), whose sum is σ = 258324318720. Its totient is φ = 36076000000.

The previous prime is 100202200997. The next prime is 100202201039. The reversal of 100202201000 is 102202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065905 + ... + 1156095.

It is an arithmetic number, because the mean of its divisors is an integer number (2018158740).

Almost surely, 2100202201000 is an apocalyptic number.

100202201000 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 100202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129162159360).

100202201000 is an abundant number, since it is smaller than the sum of its proper divisors (158122117720).

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

100202201000 is a wasteful number, since it uses less digits than its factorization.

100202201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90324 (or 90310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100202201000 its reverse (102202001), we get a palindrome (100304403001).

The spelling of 100202201000 in words is "one hundred billion, two hundred two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 90191 101000 111100 138875 180382 222200 277750 360764 450955 555500 721528 901910 992101 1111000 1803820 1984202 2254775 3607640 3968404 4509550 4960505 7936808 9019100 9109291 9921010 11273875 18038200 18218582 19842020 22547750 24802525 36437164 39684040 45095500 45546455 49605050 72874328 90191000 91092910 99210100 100202201 124012625 182185820 198420200 200404402 227732275 248025250 364371640 400808804 455464550 496050500 501011005 801617608 910929100 992101000 1002022010 1138661375 1821858200 2004044020 2277322750 2505055025 4008088040 4554645500 5010110050 9109291000 10020220100 12525275125 20040440200 25050550250 50101100500 100202201000