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101355203124 = 22347172628779
BaseRepresentation
bin101111001100100111…
…1011010101000110100
3100200121121200210110000
41132121033122220310
53130033412444444
6114321213431300
710215451004010
oct1363117325064
9320547623400
10101355203124
1139a9140828a
121778779b530
139733505196
144c97031540
1529831d1469
hex17993daa34

101355203124 has 120 divisors (see below), whose sum is σ = 320627039040. Its totient is φ = 27255170304.

The previous prime is 101355203099. The next prime is 101355203153. The reversal of 101355203124 is 421302553101.

101355203124 is a `hidden beast` number, since 1 + 0 + 13 + 5 + 520 + 3 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275834 + ... + 1352945.

It is an arithmetic number, because the mean of its divisors is an integer number (2671891992).

Almost surely, 2101355203124 is an apocalyptic number.

101355203124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101355203124 is an abundant number, since it is smaller than the sum of its proper divisors (219271835916).

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

101355203124 is a wasteful number, since it uses less digits than its factorization.

101355203124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628819 (or 2628808 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101355203124 its reverse (421302553101), we get a palindrome (522657756225).

The spelling of 101355203124 in words is "one hundred one billion, three hundred fifty-five million, two hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 2628779 5257558 7886337 10515116 15772674 18401453 23659011 31545348 36802906 44689243 47318022 55204359 70977033 73605812 89378486 94636044 110408718 134067729 141954066 165613077 178756972 212931099 220817436 268135458 283908132 312824701 331226154 402203187 425862198 496839231 536270916 625649402 662452308 804406374 851724396 938474103 993678462 1206609561 1251298804 1490517693 1608812748 1876948206 1987356924 2413219122 2815422309 2981035386 3619828683 3753896412 4826438244 5630844618 5962070772 7239657366 8446266927 11261689236 14479314732 16892533854 25338800781 33785067708 50677601562 101355203124