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20123133214401 = 3372122111245617
BaseRepresentation
bin1001001001101010010000…
…01101001111111011000001
32122020202022202022220022000
410210311020031033323001
510114144134100330101
6110444234554134213
74144564000046100
oct444651015177301
978222282286260
1020123133214401
11645919a0aa548
12230bbb8721369
13b2c7ac655209
144d7d71766037
1524d6aee46486
hex124d4834fec1

20123133214401 has 48 divisors (see below), whose sum is σ = 34682190396480. Its totient is φ = 11497982348160.

The previous prime is 20123133214397. The next prime is 20123133214411. The reversal of 20123133214401 is 10441233132102.

20123133214401 is a `hidden beast` number, since 2 + 0 + 1 + 231 + 3 + 3 + 21 + 4 + 401 = 666.

It is not a de Polignac number, because 20123133214401 - 22 = 20123133214397 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20123133214411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15532345 + ... + 16777961.

It is an arithmetic number, because the mean of its divisors is an integer number (722545633260).

Almost surely, 220123133214401 is an apocalyptic number.

20123133214401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20123133214401 is a deficient number, since it is larger than the sum of its proper divisors (14559057182079).

20123133214401 is a wasteful number, since it uses less digits than its factorization.

20123133214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257851 (or 1257838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20123133214401 its reverse (10441233132102), we get a palindrome (30564366346503).

The spelling of 20123133214401 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-three million, two hundred fourteen thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 12211 36633 85477 109899 256431 329697 598339 769293 1245617 1795017 2307879 3736851 5385051 8719319 11210553 16155153 26157957 33631659 61035233 78473871 183105699 235421613 549317097 1647951291 15210229187 45630687561 106471604309 136892062683 319414812927 410676188049 745301230163 958244438781 2235903690489 2874733316343 6707711071467 20123133214401