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100102012220 = 22571783506743
BaseRepresentation
bin101110100111010001…
…0110111110100111100
3100120101021121002201002
41131032202313310330
53120002103342340
6113553005305432
710142423031140
oct1351642676474
9316337532632
10100102012220
11394a8a81421
1217497b65278
1395939a90c2
144bb8817220
15290d18a715
hex174e8b7d3c

100102012220 has 96 divisors (see below), whose sum is σ = 257442167808. Its totient is φ = 31912584192.

The previous prime is 100102012217. The next prime is 100102012261. The reversal of 100102012220 is 22210201001.

It is a happy number.

It is a congruent number.

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, 55832 + ... + 450911.

It is an arithmetic number, because the mean of its divisors is an integer number (2681689248).

Almost surely, 2100102012220 is an apocalyptic number.

100102012220 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 100102012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128721083904).

100102012220 is an abundant number, since it is smaller than the sum of its proper divisors (157340155588).

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

100102012220 is a wasteful number, since it uses less digits than its factorization.

100102012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506859 (or 506857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100102012220 its reverse (22210201001), we get a palindrome (122312213221).

The spelling of 100102012220 in words is "one hundred billion, one hundred two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 83 85 119 140 166 170 238 332 340 415 476 581 595 830 1162 1190 1411 1660 2324 2380 2822 2905 5644 5810 7055 9877 11620 14110 19754 28220 39508 49385 98770 197540 506743 1013486 2026972 2533715 3547201 5067430 7094402 8614631 10134860 14188804 17229262 17736005 34458524 35472010 42059669 43073155 60302417 70944020 84119338 86146310 120604834 168238676 172292620 210298345 241209668 294417683 301512085 420596690 588835366 603024170 715014373 841193380 1177670732 1206048340 1430028746 1472088415 2860057492 2944176830 3575071865 5005100611 5888353660 7150143730 10010201222 14300287460 20020402444 25025503055 50051006110 100102012220