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10100010202100 = 22527131397984829
BaseRepresentation
bin1001001011111001011110…
…0001010011001111110100
31022202112220002001220201122
42102332113201103033310
52310434310102431400
633251514114443112
72061462445133450
oct222762741231764
938675802056648
1010100010202100
1132444324a8105
121171548b93498
13583571aca7c0
1426cbb3687660
15127aceee5685
hex92f978533f4

10100010202100 has 144 divisors (see below), whose sum is σ = 27168863164800. Its totient is φ = 3173490040320.

The previous prime is 10100010202097. The next prime is 10100010202123. The reversal of 10100010202100 is 120201000101.

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, 2727515 + ... + 5257314.

Almost surely, 210100010202100 is an apocalyptic number.

10100010202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010202100 is an abundant number, since it is smaller than the sum of its proper divisors (17068852962700).

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

10100010202100 is a wasteful number, since it uses less digits than its factorization.

10100010202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985002 (or 7984995 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100010202100 its reverse (120201000101), we get a palindrome (10220211202201).

The spelling of 10100010202100 in words is "ten trillion, one hundred billion, ten million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 139 140 175 182 260 278 325 350 364 455 556 650 695 700 910 973 1300 1390 1807 1820 1946 2275 2780 3475 3614 3892 4550 4865 6950 7228 9035 9100 9730 12649 13900 18070 19460 24325 25298 36140 45175 48650 50596 63245 90350 97300 126490 180700 252980 316225 632450 1264900 7984829 15969658 31939316 39924145 55893803 79848290 103802777 111787606 159696580 199620725 207605554 223575212 279469015 399241450 415211108 519013885 558938030 726619439 798482900 1038027770 1109891231 1117876060 1397345075 1453238878 2076055540 2219782462 2595069425 2794690150 2906477756 3633097195 4439564924 5190138850 5549456155 5589380300 7266194390 7769238617 10380277700 11098912310 14428586003 14532388780 15538477234 18165485975 22197824620 27747280775 28857172006 31076954468 36330971950 38846193085 55494561550 57714344012 72142930015 72661943900 77692386170 101000102021 110989123100 144285860030 155384772340 194230965425 202000204042 288571720060 360714650075 388461930850 404000408084 505000510105 721429300150 776923861700 1010001020210 1442858600300 2020002040420 2525002550525 5050005101050 10100010202100