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10212123320 = 2357243121169
BaseRepresentation
bin10011000001011000…
…01010001010111000
3222100200220121121122
421200230022022320
5131403300421240
64405201124412
7511031421200
oct114054121270
928320817548
1010212123320
114370528443
121b90029708
13c6992a929
146cc3bd400
153eb80e4b5
hex260b0a2b8

10212123320 has 96 divisors (see below), whose sum is σ = 27350492400. Its totient is φ = 3419845632.

The previous prime is 10212123239. The next prime is 10212123343. The reversal of 10212123320 is 2332121201.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23696 + ... + 144864.

Almost surely, 210212123320 is an apocalyptic number.

10212123320 is a gapful number since it is divisible by the number (10) 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 10212123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675246200).

10212123320 is an abundant number, since it is smaller than the sum of its proper divisors (17138369080).

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

10212123320 is a wasteful number, since it uses less digits than its factorization.

10212123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121237 (or 121226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10212123320 its reverse (2332121201), we get a palindrome (12544244521).

The spelling of 10212123320 in words is "ten billion, two hundred twelve million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 6020 8428 10535 12040 16856 21070 42140 84280 121169 242338 484676 605845 848183 969352 1211690 1696366 2423380 3392732 4240915 4846760 5210267 5937281 6785464 8481830 10420534 11874562 16963660 20841068 23749124 26051335 29686405 33927320 36471869 41682136 47498248 52102670 59372810 72943738 104205340 118745620 145887476 182359345 208410680 237491240 255303083 291774952 364718690 510606166 729437380 1021212332 1276515415 1458874760 2042424664 2553030830 5106061660 10212123320