Search a number
-
+
101341899264 = 2931727714011
BaseRepresentation
bin101111001100001110…
…0101010101000000000
3100200120200122212222110
41132120130222220000
53130022011234024
6114320020335320
710215226634154
oct1363034525000
9320520585873
10101341899264
1139a84950961
1217783244540
139730827888
144c9536b064
152981e54629
hex179872aa00

101341899264 has 160 divisors (see below), whose sum is σ = 286914868416. Its totient is φ = 31676497920.

The previous prime is 101341899251. The next prime is 101341899283. The reversal of 101341899264 is 462998143101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7226019 + ... + 7240029.

Almost surely, 2101341899264 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 101341899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143457434208).

101341899264 is an abundant number, since it is smaller than the sum of its proper divisors (185572969152).

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

101341899264 is a wasteful number, since it uses less digits than its factorization.

101341899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 101341899264 in words is "one hundred one billion, three hundred forty-one million, eight hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 277 384 408 512 544 554 768 816 831 1088 1108 1536 1632 1662 2176 2216 3264 3324 4352 4432 4709 6528 6648 8704 8864 9418 13056 13296 14011 14127 17728 18836 26112 26592 28022 28254 35456 37672 42033 53184 56044 56508 70912 75344 84066 106368 112088 113016 141824 150688 168132 212736 224176 226032 238187 301376 336264 425472 448352 452064 476374 602752 672528 714561 896704 904128 952748 1205504 1345056 1429122 1793408 1808256 1905496 2411008 2690112 2858244 3586816 3616512 3810992 3881047 5380224 5716488 7173632 7233024 7621984 7762094 10760448 11432976 11643141 15243968 15524188 21520896 22865952 23286282 30487936 31048376 45731904 46572564 60975872 62096752 65977799 91463808 93145128 121951744 124193504 131955598 182927616 186290256 197933397 248387008 263911196 365855232 372580512 395866794 496774016 527822392 745161024 791733588 993548032 1055644784 1490322048 1583467176 1987096064 2111289568 2980644096 3166934352 4222579136 5961288192 6333868704 8445158272 12667737408 16890316544 25335474816 33780633088 50670949632 101341899264