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31403323032 = 233172913719373
BaseRepresentation
bin11101001111110010…
…001010111010011000
310000001112220002200020
4131033302022322120
51003303222314112
622232042110440
72161126561434
oct351762127230
9100045802606
1031403323032
11123553a2434
126104aab420
132c66038263
14173c9839c4
15c3be2848c
hex74fc8ae98

31403323032 has 128 divisors (see below), whose sum is σ = 86625028800. Its totient is φ = 9442377728.

The previous prime is 31403323031. The next prime is 31403323043. The reversal of 31403323032 is 23032330413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31403322993 and 31403323011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403323031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611298 + ... + 1630670.

Almost surely, 231403323032 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 31403323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43312514400).

31403323032 is an abundant number, since it is smaller than the sum of its proper divisors (55221705768).

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

31403323032 is a wasteful number, since it uses less digits than its factorization.

31403323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31403323032 its reverse (23032330413), we get a palindrome (54435653445).

The spelling of 31403323032 in words is "thirty-one billion, four hundred three million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 137 174 204 232 274 348 408 411 493 548 696 822 986 1096 1479 1644 1972 2329 2958 3288 3944 3973 4658 5916 6987 7946 9316 11832 11919 13974 15892 18632 19373 23838 27948 31784 38746 47676 55896 58119 67541 77492 95352 116238 135082 154984 202623 232476 270164 329341 405246 464952 540328 561817 658682 810492 988023 1123634 1317364 1620984 1685451 1976046 2247268 2634728 2654101 3370902 3952092 4494536 5308202 6741804 7904184 7962303 9550889 10616404 13483608 15924606 19101778 21232808 28652667 31849212 38203556 45119717 57305334 63698424 76407112 76968929 90239434 114610668 135359151 153937858 180478868 229221336 230906787 270718302 307875716 360957736 461813574 541436604 615751432 923627148 1082873208 1308471793 1847254296 2616943586 3925415379 5233887172 7850830758 10467774344 15701661516 31403323032