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103070961168 = 24376114533461
BaseRepresentation
bin101111111111110000…
…0100000111000010000
3100212001012012100000020
41133333200200320100
53142042131224133
6115203344223440
710306123500030
oct1377740407020
9325035170006
10103070961168
113a79196373a
1217b8630ab80
139947b0b126
144dbac598c0
152a33b490b3
hex17ff820e10

103070961168 has 160 divisors (see below), whose sum is σ = 309595636992. Its totient is φ = 28937779200.

The previous prime is 103070961157. The next prime is 103070961187. The reversal of 103070961168 is 861169070301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29778958 + ... + 29782418.

Almost surely, 2103070961168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103070961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154797818496).

103070961168 is an abundant number, since it is smaller than the sum of its proper divisors (206524675824).

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

103070961168 is a wasteful number, since it uses less digits than its factorization.

103070961168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 103070961168 in words is "one hundred three billion, seventy million, nine hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1453 1464 1708 2562 2906 2928 3416 3461 4359 5124 5812 6832 6922 8718 10171 10248 10383 11624 13844 17436 20342 20496 20766 23248 24227 27688 30513 34872 40684 41532 48454 55376 61026 69744 72681 81368 83064 88633 96908 122052 145362 162736 166128 177266 193816 211121 244104 265899 290724 354532 387632 422242 488208 531798 581448 620431 633363 709064 844484 1063596 1162896 1240862 1266726 1418128 1477847 1688968 1861293 2127192 2481724 2533452 2955694 3377936 3722586 4254384 4433541 4963448 5028833 5066904 5911388 7445172 8867082 9926896 10057666 10133808 11822776 14890344 15086499 17734164 20115332 23645552 29780688 30172998 35201831 35468328 40230664 60345996 70403662 70936656 80461328 105605493 120691992 140807324 211210986 241383984 281614648 306758813 422421972 563229296 613517626 844843944 920276439 1227035252 1689687888 1840552878 2147311691 2454070504 3681105756 4294623382 4908141008 6441935073 7362211512 8589246764 12883870146 14724423024 17178493528 25767740292 34356987056 51535480584 103070961168