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21701010942 = 23313179373463
BaseRepresentation
bin10100001101011110…
…110010010111111110
32002000101021120121000
4110031132302113332
5323420424322232
613545211551130
71365525356322
oct241536622776
962011246530
1021701010942
119226722796
12425775b4a6
13207ac193a0
14109c191982
1587026e27c
hex50d7b25fe

21701010942 has 128 divisors (see below), whose sum is σ = 52477286400. Its totient is φ = 6607827072.

The previous prime is 21701010937. The next prime is 21701010953. The reversal of 21701010942 is 24901010712.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46870203 + ... + 46870665.

It is an arithmetic number, because the mean of its divisors is an integer number (409978800).

Almost surely, 221701010942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21701010942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238643200).

21701010942 is an abundant number, since it is smaller than the sum of its proper divisors (30776275458).

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

21701010942 is a wasteful number, since it uses less digits than its factorization.

21701010942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 21701010942 in words is "twenty-one billion, seven hundred one million, ten thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 179 234 351 358 373 463 537 702 746 926 1074 1119 1389 1611 2238 2327 2778 3222 3357 4167 4654 4833 4849 6019 6714 6981 8334 9666 9698 10071 12038 12501 13962 14547 18057 20142 20943 25002 29094 36114 41886 43641 54171 62829 66767 82877 87282 108342 125658 130923 133534 162513 165754 172699 200301 248631 261846 325026 345398 400602 497262 518097 600903 745893 867971 1036194 1077401 1201806 1491786 1554291 1735942 1802709 2154802 2237679 2245087 2603913 3108582 3232203 3605418 4475358 4490174 4662873 5207826 6464406 6735261 7811739 9325746 9696609 13470522 15623478 19393218 20205783 23435217 29089827 30913121 40411566 46870434 58179654 60617349 61826242 92739363 121234698 185478726 278218089 401870573 556436178 803741146 834654267 1205611719 1669308534 2411223438 3616835157 7233670314 10850505471 21701010942