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172931031 = 3471329809
BaseRepresentation
bin10100100111010…
…11011111010111
3110001101210210000
422103223133113
5323232243111
625054302343
74166614050
oct1223533727
9401353700
10172931031
1189684709
1249ab79b3
1329a9a470
1418d77727
15102adc56
hexa4eb7d7

172931031 has 80 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 87962112.

The previous prime is 172931029. The next prime is 172931041. The reversal of 172931031 is 130139271.

It is not a de Polignac number, because 172931031 - 21 = 172931029 is a prime.

It is a super-2 number, since 2×1729310312 = 59810282965445922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 172930986 and 172931004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172931041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 213355 + ... + 214163.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2172931031 is an apocalyptic number.

172931031 is a deficient number, since it is larger than the sum of its proper divisors (156382569).

172931031 is a wasteful number, since it uses less digits than its factorization.

172931031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 172931031 is about 13150.3243686230. The cubic root of 172931031 is about 557.1314096549.

The spelling of 172931031 in words is "one hundred seventy-two million, nine hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 13 21 27 29 39 63 81 87 91 117 189 203 261 273 351 377 567 609 783 809 819 1053 1131 1827 2349 2427 2457 2639 3393 5481 5663 7281 7371 7917 10179 10517 16443 16989 21843 23461 23751 30537 31551 50967 65529 70383 71253 73619 94653 152901 164227 211149 213759 220857 283959 304993 458703 492681 633447 662571 851877 914979 1478043 1900341 1987713 2134951 2744937 4434129 5963139 6404853 8234811 13302387 19214559 24704433 57643677 172931031