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10100021220 = 223457187811
BaseRepresentation
bin10010110100000001…
…00001011111100100
3222001212222020110000
421122000201133210
5131141101134340
64350114301300
7505200523002
oct113200413744
928055866400
1010100021220
114313220483
121b5a587830
13c4c63a823
146bb55ba72
153e1a68d30
hex25a0217e4

10100021220 has 120 divisors (see below), whose sum is σ = 32130762048. Its totient is φ = 2655374400.

The previous prime is 10100021201. The next prime is 10100021227. The reversal of 10100021220 is 2212000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100021227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71115 + ... + 158925.

Almost surely, 210100021220 is an apocalyptic number.

10100021220 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 10100021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065381024).

10100021220 is an abundant number, since it is smaller than the sum of its proper divisors (22030740828).

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

10100021220 is a wasteful number, since it uses less digits than its factorization.

10100021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87903 (or 87892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10100021220 its reverse (2212000101), we get a palindrome (12312021321).

The spelling of 10100021220 in words is "ten billion, one hundred million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 5751 6390 7668 9585 11502 12780 19170 23004 28755 38340 57510 87811 115020 175622 263433 351244 439055 526866 790299 878110 1053732 1317165 1580598 1756220 2370897 2634330 3161196 3951495 4741794 5268660 6234581 7112691 7902990 9483588 11854485 12469162 14225382 15805980 18703743 23708970 24938324 28450764 31172905 35563455 37407486 47417940 56111229 62345810 71126910 74814972 93518715 112222458 124691620 142253820 168333687 187037430 224444916 280556145 336667374 374074860 505001061 561112290 673334748 841668435 1010002122 1122224580 1683336870 2020004244 2525005305 3366673740 5050010610 10100021220