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21211023102120 = 2332567879395651
BaseRepresentation
bin1001101001010100100110…
…11111110101000010101000
32210002202100200002020000200
410310222103133311002220
510240010133403231440
6113040113130032200
74316305632366615
oct464522337650250
983082320066020
1021211023102120
1168385a9630985
122466a08878660
13bab263524477
1453489474b50c
1526bb32675c30
hex134a937f50a8

21211023102120 has 96 divisors (see below), whose sum is σ = 69964718073120. Its totient is φ = 5571850838400.

The previous prime is 21211023102109. The next prime is 21211023102163. The reversal of 21211023102120 is 2120132011212.

21211023102120 is a `hidden beast` number, since 21 + 21 + 102 + 310 + 212 + 0 = 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 = 21211023102093 and 21211023102102.

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, 439673706 + ... + 439721945.

It is an arithmetic number, because the mean of its divisors is an integer number (728799146595).

Almost surely, 221211023102120 is an apocalyptic number.

21211023102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211023102120 is an abundant number, since it is smaller than the sum of its proper divisors (48753694971000).

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

21211023102120 is a wasteful number, since it uses less digits than its factorization.

21211023102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879395735 (or 879395728 counting only the distinct ones).

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

Adding to 21211023102120 its reverse (2120132011212), we get a palindrome (23331155113332).

The spelling of 21211023102120 in words is "twenty-one trillion, two hundred eleven billion, twenty-three million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 879395651 1758791302 2638186953 3517582604 4396978255 5276373906 7035165208 7914560859 8793956510 10552747812 13190934765 15829121718 17587913020 21105495624 26381869530 31658243436 35175826040 39572804295 52763739060 58919508617 63316486872 79145608590 105527478120 117839017234 158291217180 176758525851 235678034468 294597543085 316582434360 353517051702 471356068936 530275577553 589195086170 707034103404 883792629255 1060551155106 1178390172340 1414068206808 1767585258510 2121102310212 2356780344680 2651377887765 3535170517020 4242204620424 5302755775530 7070341034040 10605511551060 21211023102120