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31200011411220 = 22325185267935587
BaseRepresentation
bin1110001100000010100011…
…00110001101111100010100
311002110200200102212121201100
413012001101212031330110
513042140110410124340
6150205030512230100
76400061240160141
oct706012146157424
9132420612777640
1031200011411220
119a3993a071603
1235ba93083b330
1314541c11c0c52
1479c1352053c8
153918b59ba830
hex1c605198df14

31200011411220 has 72 divisors (see below), whose sum is σ = 94640646600864. Its totient is φ = 8319949242048.

The previous prime is 31200011411131. The next prime is 31200011411237. The reversal of 31200011411220 is 2211411000213.

31200011411220 is a `hidden beast` number, since 3 + 1 + 20 + 0 + 0 + 11 + 411 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31200011411193 and 31200011411202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32880267 + ... + 33815853.

It is an arithmetic number, because the mean of its divisors is an integer number (1314453425012).

Almost surely, 231200011411220 is an apocalyptic number.

31200011411220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200011411220 is an abundant number, since it is smaller than the sum of its proper divisors (63440635189644).

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

31200011411220 is a wasteful number, since it uses less digits than its factorization.

31200011411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120869 (or 1120864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31200011411220 its reverse (2211411000213), we get a palindrome (33411422411433).

The spelling of 31200011411220 in words is "thirty-one trillion, two hundred billion, eleven million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 185267 370534 555801 741068 926335 935587 1111602 1667403 1852670 1871174 2223204 2779005 2806761 3334806 3705340 3742348 4677935 5558010 5613522 6669612 8337015 8420283 9355870 11116020 11227044 14033805 16674030 16840566 18711740 28067610 33348060 33681132 42101415 56135220 84202830 168405660 173333396729 346666793458 520000190187 693333586916 866666983645 1040000380374 1560000570561 1733333967290 2080000760748 2600000950935 3120001141122 3466667934580 5200001901870 6240002282244 7800002852805 10400003803740 15600005705610 31200011411220