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10212010032 = 2437488609
BaseRepresentation
bin10011000001010111…
…01110100000110000
3222100200200212012210
421200223232200300
5131403233310112
64405154452120
7511030440000
oct114053564060
928320625183
1010212010032
114370460314
121b8bb94040
13c698bb1b3
146cc390000
153eb7dab3c
hex260aee830

10212010032 has 100 divisors (see below), whose sum is σ = 30776379640. Its totient is φ = 2917684224.

The previous prime is 10212010021. The next prime is 10212010037. The reversal of 10212010032 is 23001021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10212010037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70944 + ... + 159552.

Almost surely, 210212010032 is an apocalyptic number.

10212010032 is a gapful number since it is divisible by the number (12) 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 10212010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388189820).

10212010032 is an abundant number, since it is smaller than the sum of its proper divisors (20564369608).

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

10212010032 is an frugal number, since it uses more digits than its factorization.

10212010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88648 (or 88621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10212010032 its reverse (23001021201), we get a palindrome (33213031233).

The spelling of 10212010032 in words is "ten billion, two hundred twelve million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2401 2744 4116 4802 5488 7203 8232 9604 14406 16464 19208 28812 38416 57624 88609 115248 177218 265827 354436 531654 620263 708872 1063308 1240526 1417744 1860789 2126616 2481052 3721578 4253232 4341841 4962104 7443156 8683682 9924208 13025523 14886312 17367364 26051046 29772624 30392887 34734728 52102092 60785774 69469456 91178661 104204184 121571548 182357322 208408368 212750209 243143096 364714644 425500418 486286192 638250627 729429288 851000836 1276501254 1458858576 1702001672 2553002508 3404003344 5106005016 10212010032