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101201001000988 = 22739744957735141
BaseRepresentation
bin10111000000101010110001…
…101101110011000000011100
3111021022201110202120202110211
4113000222301231303000130
5101231034122224012423
6555123033102142204
730213350101205440
oct2700526155630034
9437281422522424
10101201001000988
112a278115840109
12b425522581964
1344612a0c2b615
141adc224268820
15ba770c2d810d
hex5c0ab1b7301c

101201001000988 has 96 divisors (see below), whose sum is σ = 203721997449600. Its totient is φ = 43090217533440.

The previous prime is 101201001000941. The next prime is 101201001000989. The reversal of 101201001000988 is 889000100102101.

It is a super-2 number, since 2×1012010010009882 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201001000989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879837898 + ... + 2879873038.

It is an arithmetic number, because the mean of its divisors is an integer number (2122104140100).

Almost surely, 2101201001000988 is an apocalyptic number.

It is an amenable number.

101201001000988 is an abundant number, since it is smaller than the sum of its proper divisors (102520996448612).

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

101201001000988 is a wasteful number, since it uses less digits than its factorization.

101201001000988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36575 (or 36573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 101201001000988 in words is "one hundred one trillion, two hundred one billion, one million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 397 449 577 794 898 1154 1588 1796 2308 2779 3143 4039 5558 6286 8078 11116 12572 16156 35141 70282 140564 178253 229069 245987 259073 356506 458138 491974 518146 713012 916276 983948 1036292 1247771 1603483 1813511 2495542 3206966 3627022 4991084 6413932 7254044 13950977 15778309 20276357 27901954 31556618 40552714 55803908 63113236 81105428 97656839 102851981 110448163 141934499 195313678 205703962 220896326 283868998 390627356 411407924 441792652 567737996 719963867 1439927734 2879855468 6263988673 8049713729 9104084293 12527977346 16099427458 18208168586 25055954692 32198854916 36416337172 43847920711 56347996103 63728590051 87695841422 112695992206 127457180102 175391682844 225391984412 254914360204 3614321464321 7228642928642 14457285857284 25300250250247 50600500500494 101201001000988