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20311332132 = 22371354134381
BaseRepresentation
bin10010111010101001…
…100101010100100100
31221102112100120122110
4102322221211110210
5313044200112012
613155250201020
71316222321520
oct227251452444
957375316573
1020311332132
118683243503
123b2a283170
131bb9042730
14da97a8d80
157dd26773c
hex4baa65524

20311332132 has 96 divisors (see below), whose sum is σ = 58439497984. Its totient is φ = 5346777600.

The previous prime is 20311332121. The next prime is 20311332143. The reversal of 20311332132 is 23123311302.

It is an interprime number because it is at equal distance from previous prime (20311332121) and next prime (20311332143).

It is a super-3 number, since 3×203113321323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20311332099 and 20311332108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573582 + ... + 607962.

Almost surely, 220311332132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29219748992).

20311332132 is an abundant number, since it is smaller than the sum of its proper divisors (38128165852).

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

20311332132 is a wasteful number, since it uses less digits than its factorization.

20311332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34949 (or 34947 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20311332132 its reverse (23123311302), we get a palindrome (43434643434).

The spelling of 20311332132 in words is "twenty billion, three hundred eleven million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 541 546 1082 1092 1623 2164 3246 3787 6492 7033 7574 11361 14066 15148 21099 22722 28132 34381 42198 45444 49231 68762 84396 98462 103143 137524 147693 196924 206286 240667 295386 412572 446953 481334 590772 722001 893906 962668 1340859 1444002 1787812 2681718 2888004 3128671 5363436 6257342 9386013 12514684 18600121 18772026 37200242 37544052 55800363 74400484 111600726 130200847 223201452 241801573 260401694 390602541 483603146 520803388 725404719 781205082 967206292 1450809438 1562410164 1692611011 2901618876 3385222022 5077833033 6770444044 10155666066 20311332132