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101068105049076 = 2231131154493159871
BaseRepresentation
bin10110111110101111000000…
…011111111110001111110100
3111020212000110000101220122210
4112332233000133332033310
5101221344434343032301
6554542014012453420
730200633601230544
oct2676570037761764
9436760400356583
10101068105049076
112a2268195074a0
12b403813a7a270
1344518b20a2799
141ad5a1831d324
15ba40300d4ad6
hex5bebc07fe3f4

101068105049076 has 96 divisors (see below), whose sum is σ = 265566494785536. Its totient is φ = 29638363248000.

The previous prime is 101068105049071. The next prime is 101068105049129. The reversal of 101068105049076 is 670940501860101.

It is a happy number.

It is a super-2 number, since 2×1010681050490762 (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 (101068105049071) 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, 632105421 + ... + 632265291.

It is an arithmetic number, because the mean of its divisors is an integer number (2766317654016).

Almost surely, 2101068105049076 is an apocalyptic number.

It is an amenable number.

101068105049076 is an abundant number, since it is smaller than the sum of its proper divisors (164498389736460).

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

101068105049076 is a wasteful number, since it uses less digits than its factorization.

101068105049076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314413 (or 314411 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 101068105049076 in words is "one hundred one trillion, sixty-eight billion, one hundred five million, forty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 154493 159871 308986 319742 463479 479613 617972 639484 926958 959226 1699423 1758581 1853916 1918452 3398846 3517162 4789283 4956001 5098269 5275743 6797692 7034324 9578566 9912002 10196538 10551486 14367849 14868003 19157132 19824004 20393076 21102972 28735698 29736006 52682113 54516011 57471396 59472012 105364226 109032022 158046339 163548033 210728452 218064044 316092678 327096066 632185356 654192132 24698950403 49397900806 74096851209 98795801612 148193702418 271688454433 296387404836 543376908866 765667462493 815065363299 1086753817732 1531334924986 1630130726598 2297002387479 3062669849972 3260261453196 4594004774958 8422342087423 9188009549916 16844684174846 25267026262269 33689368349692 50534052524538 101068105049076