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31001022 = 2331324379
BaseRepresentation
bin111011001000…
…0100110111110
32011100000102000
41312100212332
530414013042
63024243130
7524334663
oct166204676
964300360
1031001022
1116554588
12a4704a6
136565800
14418da6a
152ac574c
hex1d909be

31001022 has 96 divisors (see below), whose sum is σ = 77299200. Its totient is φ = 9199008.

The previous prime is 31000999. The next prime is 31001039. The reversal of 31001022 is 22010013.

It is a happy number.

It is a super-2 number, since 2×310010222 = 1922126730088968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31000995 and 31001013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392379 + ... + 392457.

It is an arithmetic number, because the mean of its divisors is an integer number (805200).

Almost surely, 231001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38649600).

31001022 is an abundant number, since it is smaller than the sum of its proper divisors (46298178).

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

31001022 is a wasteful number, since it uses less digits than its factorization.

31001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31001022 is about 5567.8561403829. The cubic root of 31001022 is about 314.1415173421.

Adding to 31001022 its reverse (22010013), we get a palindrome (53011035).

The spelling of 31001022 in words is "thirty-one million, one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 79 86 117 129 158 169 234 237 258 338 351 387 474 507 559 702 711 774 1014 1027 1118 1161 1422 1521 1677 2054 2133 2322 3042 3081 3354 3397 4266 4563 5031 6162 6794 7267 9126 9243 10062 10191 13351 14534 15093 18486 20382 21801 26702 27729 30186 30573 40053 43602 44161 55458 61146 65403 80106 88322 91719 120159 130806 132483 183438 196209 240318 264966 360477 392418 397449 574093 720954 794898 1148186 1192347 1722279 2384694 3444558 5166837 10333674 15500511 31001022