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31831020 = 223251361223
BaseRepresentation
bin111100101101…
…1001111101100
32012220011221200
41321123033230
531122043040
63054125500
7534362544
oct171331754
965804850
1031831020
1116a71131
12a7b0890
136796530
144328324
152bdb630
hex1e5b3ec

31831020 has 144 divisors (see below), whose sum is σ = 106159872. Its totient is φ = 7672320.

The previous prime is 31831013. The next prime is 31831027. The reversal of 31831020 is 2013813.

It is an interprime number because it is at equal distance from previous prime (31831013) and next prime (31831027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31830984 and 31831002.

It is not an unprimeable number, because it can be changed into a prime (31831027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142629 + ... + 142851.

Almost surely, 231831020 is an apocalyptic number.

31831020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31831020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53079936).

31831020 is an abundant number, since it is smaller than the sum of its proper divisors (74328852).

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

31831020 is a wasteful number, since it uses less digits than its factorization.

31831020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31831020 is about 5641.8986166006. The cubic root of 31831020 is about 316.9203925262.

Adding to 31831020 its reverse (2013813), we get a palindrome (33844833).

The spelling of 31831020 in words is "thirty-one million, eight hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 223 234 244 260 305 366 390 446 468 549 585 610 669 732 780 793 892 915 1098 1115 1170 1220 1338 1586 1830 2007 2196 2230 2340 2379 2676 2745 2899 3172 3345 3660 3965 4014 4460 4758 5490 5798 6690 7137 7930 8028 8697 9516 10035 10980 11596 11895 13380 13603 14274 14495 15860 17394 20070 23790 26091 27206 28548 28990 34788 35685 40140 40809 43485 47580 52182 54412 57980 68015 71370 81618 86970 104364 122427 130455 136030 142740 163236 173940 176839 204045 244854 260910 272060 353678 408090 489708 521820 530517 612135 707356 816180 884195 1061034 1224270 1591551 1768390 2122068 2448540 2652585 3183102 3536780 5305170 6366204 7957755 10610340 15915510 31831020