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10000102211220 = 22351124332033129
BaseRepresentation
bin1001000110000101010010…
…0010100011111010010100
31022102000000022120010021010
42101201110202203322110
52302320202131224340
633133552235452220
72051324566206222
oct221412442437224
938360008503233
1010000102211220
113206023aa5900
121156105bb7070
1357700c394634
14268016937b12
151251d3dd2b80
hex918548a3e94

10000102211220 has 144 divisors (see below), whose sum is σ = 31492923295680. Its totient is φ = 2367888821760.

The previous prime is 10000102211201. The next prime is 10000102211237. The reversal of 10000102211220 is 2211220100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000102211196 and 10000102211205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15704385 + ... + 16328744.

It is an arithmetic number, because the mean of its divisors is an integer number (218700856220).

Almost surely, 210000102211220 is an apocalyptic number.

10000102211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000102211220 is an abundant number, since it is smaller than the sum of its proper divisors (21492821084460).

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

10000102211220 is a wasteful number, since it uses less digits than its factorization.

10000102211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32033206 (or 32033193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000102211220 its reverse (2211220100001), we get a palindrome (12211322311221).

The spelling of 10000102211220 in words is "ten trillion, one hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 430 473 484 516 605 645 660 726 860 946 1210 1290 1419 1452 1815 1892 2365 2420 2580 2838 3630 4730 5203 5676 7095 7260 9460 10406 14190 15609 20812 26015 28380 31218 52030 62436 78045 104060 156090 312180 32033129 64066258 96099387 128132516 160165645 192198774 320331290 352364419 384397548 480496935 640662580 704728838 960993870 1057093257 1377424547 1409457676 1761822095 1921987740 2114186514 2754849094 3523644190 3876008609 4132273641 4228373028 5285466285 5509698188 6887122735 7047288380 7752017218 8264547282 10570932570 11628025827 13774245470 15151670017 15504034436 16529094564 19380043045 20661368205 21141865140 23256051654 27548490940 30303340034 38760086090 41322736410 45455010051 46512103308 58140129135 60606680068 75758350085 77520172180 82645472820 90910020102 116280258270 151516700170 166668370187 181820040204 227275050255 232560516540 303033400340 333336740374 454550100510 500005110561 666673480748 833341850935 909100201020 1000010221122 1666683701870 2000020442244 2500025552805 3333367403740 5000051105610 10000102211220