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100220011010210 = 257131943134800343
BaseRepresentation
bin10110110010011001001010…
…001001111101100010100010
3111010211221100212211212012102
4112302121022021331202202
5101114001040304311320
6553052234254130402
730052441204651010
oct2662311211754242
9433757325755172
10100220011010210
1129a2a082537543
12b2a7386ab0a02
1343bc9251c6360
141aa69628438b0
15b8be44937175
hex5b264a27d8a2

100220011010210 has 128 divisors (see below), whose sum is σ = 239146594283520. Its totient is φ = 29349808862976.

The previous prime is 100220011010209. The next prime is 100220011010213. The reversal of 100220011010210 is 12010110022001.

It is a super-2 number, since 2×1002200110102102 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220011010191 and 100220011010200.

It is not an unprimeable number, because it can be changed into a prime (100220011010213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66656702 + ... + 68143641.

It is an arithmetic number, because the mean of its divisors is an integer number (1868332767840).

Almost surely, 2100220011010210 is an apocalyptic number.

100220011010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220011010210 is an abundant number, since it is smaller than the sum of its proper divisors (138926583273310).

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

100220011010210 is a wasteful number, since it uses less digits than its factorization.

100220011010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134800432.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100220011010210 its reverse (12010110022001), we get a palindrome (112230121032211).

The spelling of 100220011010210 in words is "one hundred trillion, two hundred twenty billion, eleven million, ten thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 43 65 70 86 91 95 130 133 182 190 215 247 266 301 430 455 494 559 602 665 817 910 1118 1235 1330 1505 1634 1729 2470 2795 3010 3458 3913 4085 5590 5719 7826 8170 8645 10621 11438 17290 19565 21242 28595 39130 53105 57190 74347 106210 148694 371735 743470 134800343 269600686 674001715 943602401 1348003430 1752404459 1887204802 2561206517 3504808918 4718012005 5122413034 5796414749 8762022295 9436024010 11592829498 12266831213 12806032585 17524044590 17928445619 24533662426 25612065170 28982073745 33295684721 35856891238 40574903243 57964147490 61334156065 66591369442 75353391737 81149806486 89642228095 110131880231 122668312130 150706783474 166478423605 179284456190 202874516215 220263760462 233069793047 332956847210 376766958685 405749032430 466139586094 527473742159 550659401155 753533917370 770923161617 1054947484318 1101318802310 1165348965235 1431714443003 1541846323234 2330697930470 2637368710795 2863428886006 3854615808085 5274737421590 7158572215015 7709231616170 10022001101021 14317144430030 20044002202042 50110005505105 100220011010210