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20123133214400 = 265219165847949
BaseRepresentation
bin1001001001101010010000…
…01101001111111011000000
32122020202022202022220021222
410210311020031033323000
510114144134100330100
6110444234554134212
74144564000046066
oct444651015177300
978222282286258
1020123133214400
11645919a0aa547
12230bbb8721368
13b2c7ac655208
144d7d71766036
1524d6aee46485
hex124d4834fec0

20123133214400 has 84 divisors (see below), whose sum is σ = 49774728796800. Its totient is φ = 8007110476800.

The previous prime is 20123133214397. The next prime is 20123133214411. The reversal of 20123133214400 is 441233132102.

It is a self number, because there is not a number n which added to its sum of digits gives 20123133214400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32618375 + ... + 33229574.

It is an arithmetic number, because the mean of its divisors is an integer number (592556295200).

Almost surely, 220123133214400 is an apocalyptic number.

20123133214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123133214400 is an abundant number, since it is smaller than the sum of its proper divisors (29651595582400).

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

20123133214400 is a wasteful number, since it uses less digits than its factorization.

20123133214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65848162 (or 65848147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 20123133214400 its reverse (441233132102), we get a palindrome (20564366346502).

The spelling of 20123133214400 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-three million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 191 200 320 382 400 764 800 955 1528 1600 1910 3056 3820 4775 6112 7640 9550 12224 15280 19100 30560 38200 61120 76400 152800 305600 65847949 131695898 263391796 329239745 526783592 658479490 1053567184 1316958980 1646198725 2107134368 2633917960 3292397450 4214268736 5267835920 6584794900 10535671840 12576958259 13169589800 21071343680 25153916518 26339179600 50307833036 52678359200 62884791295 100615666072 105356718400 125769582590 201231332144 251539165180 314423956475 402462664288 503078330360 628847912950 804925328576 1006156660720 1257695825900 2012313321440 2515391651800 4024626642880 5030783303600 10061566607200 20123133214400