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31323233032 = 23713317319013
BaseRepresentation
bin11101001011000000…
…101001101100001000
32222211222012002211221
4131023000221230020
51003122221424112
622220101331424
72156135042050
oct351300515410
988758162757
1031323233032
111231416a653
1260a2106b74
132c52575c20
141732096560
15c34da7e07
hex74b029b08

31323233032 has 128 divisors (see below), whose sum is σ = 75642255360. Its totient is φ = 11826984960.

The previous prime is 31323232991. The next prime is 31323233107. The reversal of 31323233032 is 23033232313.

It is a super-2 number, since 2×313232330322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31323232988 and 31323233006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637958 + ... + 1656970.

It is an arithmetic number, because the mean of its divisors is an integer number (590955120).

Almost surely, 231323233032 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 31323233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37821127680).

31323233032 is an abundant number, since it is smaller than the sum of its proper divisors (44319022328).

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

31323233032 is a wasteful number, since it uses less digits than its factorization.

31323233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19143 (or 19139 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 31323233032 its reverse (23033232313), we get a palindrome (54356465345).

The spelling of 31323233032 in words is "thirty-one billion, three hundred twenty-three million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 73 91 104 124 146 182 217 248 292 364 403 434 511 584 728 806 868 949 1022 1612 1736 1898 2044 2263 2821 3224 3796 4088 4526 5642 6643 7592 9052 11284 13286 15841 18104 19013 22568 26572 29419 31682 38026 53144 58838 63364 76052 117676 126728 133091 152104 205933 235352 247169 266182 411866 494338 532364 589403 823732 988676 1064728 1178806 1387949 1647464 1730183 1977352 2357612 2775898 3460366 4125821 4715224 5551796 6920732 7662239 8251642 9715643 11103592 13841464 15324478 16503284 18043337 19431286 30648956 33006568 36086674 38862572 43026419 53635673 61297912 72173348 77725144 86052838 107271346 126303359 144346696 172105676 214542692 252606718 301184933 344211352 429085384 505213436 559343447 602369866 1010426872 1118686894 1204739732 2237373788 2409479464 3915404129 4474747576 7830808258 15661616516 31323233032