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31299210 = 2345172273
BaseRepresentation
bin111011101100…
…1011010001010
32011220011110000
41313121122022
531003033320
63034503430
7530016225
oct167313212
964804400
1031299210
1116738618
12a594b76
13663b457
14422a5bc
152b33c90
hex1dd968a

31299210 has 80 divisors (see below), whose sum is σ = 89149896. Its totient is φ = 7852032.

The previous prime is 31299199. The next prime is 31299221. The reversal of 31299210 is 1299213.

It is an interprime number because it is at equal distance from previous prime (31299199) and next prime (31299221).

It can be written as a sum of positive squares in 4 ways, for example, as 31036041 + 263169 = 5571^2 + 513^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12634 + ... + 14906.

Almost surely, 231299210 is an apocalyptic number.

31299210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31299210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44574948).

31299210 is an abundant number, since it is smaller than the sum of its proper divisors (57850686).

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

31299210 is a wasteful number, since it uses less digits than its factorization.

31299210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31299210 is about 5594.5696885462. The cubic root of 31299210 is about 315.1455110036.

The spelling of 31299210 in words is "thirty-one million, two hundred ninety-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2273 2295 2754 4546 4590 6819 6885 11365 13638 13770 20457 22730 34095 38641 40914 61371 68190 77282 102285 115923 122742 184113 193205 204570 231846 306855 347769 368226 386410 579615 613710 695538 920565 1043307 1159230 1738845 1841130 2086614 3129921 3477690 5216535 6259842 10433070 15649605 31299210