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31519431132 = 22371934695693
BaseRepresentation
bin11101010110101101…
…000101100111011100
310000100122101000001020
4131112231011213130
51004022433244012
622251350444140
72164036513140
oct352655054734
9100318330036
1031519431132
1112404996142
126137963650
132c840cb887
141750169220
15c47210a8c
hex756b459dc

31519431132 has 96 divisors (see below), whose sum is σ = 88516646400. Its totient is φ = 8527617792.

The previous prime is 31519431107. The next prime is 31519431149. The reversal of 31519431132 is 23113491513.

It is a super-3 number, since 3×315194311323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31519431093 and 31519431102.

It is a congruent number.

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, 5533678 + ... + 5539370.

It is an arithmetic number, because the mean of its divisors is an integer number (922048400).

Almost surely, 231519431132 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 31519431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44258323200).

31519431132 is an abundant number, since it is smaller than the sum of its proper divisors (56997215268).

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

31519431132 is a wasteful number, since it uses less digits than its factorization.

31519431132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9193 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The spelling of 31519431132 in words is "thirty-one billion, five hundred nineteen million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 3469 5693 6938 10407 11386 13876 17079 20814 22772 24283 34158 39851 41628 48566 65911 68316 72849 79702 97132 108167 119553 131822 145698 159404 197733 216334 239106 263644 291396 324501 395466 432668 461377 478212 649002 757169 790932 922754 1298004 1384131 1514338 1845508 2271507 2768262 3028676 4543014 5536524 9086028 19749017 39498034 59247051 78996068 118494102 138243119 236988204 276486238 375231323 414729357 552972476 750462646 829458714 1125693969 1500925292 1658917428 2251387938 2626619261 4502775876 5253238522 7879857783 10506477044 15759715566 31519431132