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10213033032 = 233233721249
BaseRepresentation
bin10011000001011111…
…01000010001001000
3222100202121211111200
421200233220101020
5131404014024112
64405232424200
7511042230336
oct114057502110
928322554450
1010213033032
114370a99974
121b903a8060
13c69b88a17
146cc578b56
153eb93dcdc
hex260be8448

10213033032 has 72 divisors (see below), whose sum is σ = 27764831250. Its totient is φ = 3391524864.

The previous prime is 10213033027. The next prime is 10213033063. The reversal of 10213033032 is 23033031201.

It can be written as a sum of positive squares in 3 ways, for example, as 6197783076 + 4015249956 = 78726^2 + 63366^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102130330322 (a number of 21 digits) contains 22 as substring.

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 = 10213032996 and 10213033014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8176344 + ... + 8177592.

Almost surely, 210213033032 is an apocalyptic number.

10213033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213033032 is an abundant number, since it is smaller than the sum of its proper divisors (17551798218).

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

10213033032 is a wasteful number, since it uses less digits than its factorization.

10213033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10213033032 its reverse (23033031201), we get a palindrome (33246064233).

The spelling of 10213033032 in words is "ten billion, two hundred thirteen million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 337 674 1011 1249 1348 2022 2498 2696 3033 3747 4044 4996 6066 7494 8088 9992 11241 12132 14988 22482 24264 29976 44964 89928 113569 227138 340707 420913 454276 681414 841826 908552 1022121 1262739 1362828 1683652 2044242 2525478 2725656 3367304 3788217 4088484 5050956 7576434 8176968 10101912 15152868 30305736 141847681 283695362 425543043 567390724 851086086 1134781448 1276629129 1702172172 2553258258 3404344344 5106516516 10213033032