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31301132020 = 225172916091973
BaseRepresentation
bin11101001001101100…
…010101111011110100
32222210102121020221221
4131021230111323310
51003101042211040
622213551520124
72155446142444
oct351154257364
988712536857
1031301132020
1112302744854
126096829044
132c4ab083c2
14172d182124
15c32e8e74a
hex749b15ef4

31301132020 has 96 divisors (see below), whose sum is σ = 72080215200. Its totient is φ = 11364777984.

The previous prime is 31301131997. The next prime is 31301132021. The reversal of 31301132020 is 2023110313.

It can be written as a sum of positive squares in 16 ways, for example, as 587868516 + 30713263504 = 24246^2 + 175252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31301131985 and 31301132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31301132021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15863754 + ... + 15865726.

It is an arithmetic number, because the mean of its divisors is an integer number (750835575).

Almost surely, 231301132020 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 31301132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36040107600).

31301132020 is an abundant number, since it is smaller than the sum of its proper divisors (40779083180).

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

31301132020 is a wasteful number, since it uses less digits than its factorization.

31301132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31301132020 its reverse (2023110313), we get a palindrome (33324242333).

The spelling of 31301132020 in words is "thirty-one billion, three hundred one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1609 1972 1973 2465 3218 3946 4930 6436 7892 8045 9860 9865 16090 19730 27353 32180 33541 39460 46661 54706 57217 67082 93322 109412 114434 134164 136765 167705 186644 228868 233305 273530 286085 335410 466610 547060 572170 670820 793237 933220 972689 1144340 1586474 1945378 3172948 3174557 3890756 3966185 4863445 6349114 7932370 9726890 12698228 15864740 15872785 19453780 31745570 53967469 63491140 92062153 107934938 184124306 215869876 269837345 368248612 460310765 539674690 920621530 1079349380 1565056601 1841243060 3130113202 6260226404 7825283005 15650566010 31301132020