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20131231134432 = 2531132063594569
BaseRepresentation
bin1001001001111001010101…
…11000010111001011100000
32122021112020002222212020010
410210330222320113023200
510114312230132300212
6110452054312444520
74145301450166305
oct444745270271340
978245202885203
1020131231134432
116461675178740
1223116986a9740
13b304a0261182
144d84dd03d0ac
1524d9d5d3503c
hex124f2ae172e0

20131231134432 has 96 divisors (see below), whose sum is σ = 57650420459520. Its totient is φ = 6100172549120.

The previous prime is 20131231134419. The next prime is 20131231134473. The reversal of 20131231134432 is 23443113213102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20131231134432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33561244 + ... + 34155812.

It is an arithmetic number, because the mean of its divisors is an integer number (600525213120).

Almost surely, 220131231134432 is an apocalyptic number.

20131231134432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20131231134432 is an abundant number, since it is smaller than the sum of its proper divisors (37519189325088).

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

20131231134432 is a wasteful number, since it uses less digits than its factorization.

20131231134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626656 (or 626648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 20131231134432 its reverse (23443113213102), we get a palindrome (43574344347534).

The spelling of 20131231134432 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 32063 64126 96189 128252 192378 256504 352693 384756 513008 594569 705386 769512 1026016 1058079 1189138 1410772 1539024 1783707 2116158 2378276 2821544 3078048 3567414 4232316 4756552 5643088 6540259 7134828 8464632 9513104 11286176 13080518 14269656 16929264 19026208 19620777 26161036 28539312 33858528 39241554 52322072 57078624 78483108 104644144 156966216 209288288 313932432 627864864 19063665847 38127331694 57190997541 76254663388 114381995082 152509326776 209700324317 228763990164 305018653552 419400648634 457527980328 610037307104 629100972951 838801297268 915055960656 1258201945902 1677602594536 1830111921312 2516403891804 3355205189072 5032807783608 6710410378144 10065615567216 20131231134432