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155115104100 = 2235211129736241
BaseRepresentation
bin1001000001110110010…
…1001010011101100100
3112211101020102201120120
42100131211022131210
510020133431312400
6155131531001540
714130616426125
oct2203545123544
9484336381516
10155115104100
115a869483610
122608b8992b0
131182020c688
147716c5604c
15407cbc0ca0
hex241d94a764

155115104100 has 144 divisors (see below), whose sum is σ = 489990680256. Its totient is φ = 37573632000.

The previous prime is 155115104051. The next prime is 155115104117. The reversal of 155115104100 is 1401511551.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4261980 + ... + 4298220.

Almost surely, 2155115104100 is an apocalyptic number.

155115104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155115104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244995340128).

155115104100 is an abundant number, since it is smaller than the sum of its proper divisors (334875576156).

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

155115104100 is a wasteful number, since it uses less digits than its factorization.

155115104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37566 (or 37559 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 155115104100 its reverse (1401511551), we get a palindrome (156516615651).

The spelling of 155115104100 in words is "one hundred fifty-five billion, one hundred fifteen million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1297 1650 2594 3300 3891 5188 6485 7782 12970 14267 15564 19455 25940 28534 32425 36241 38910 42801 57068 64850 71335 72482 77820 85602 97275 108723 129700 142670 144964 171204 181205 194550 214005 217446 285340 356675 362410 389100 398651 428010 434892 543615 713350 724820 797302 856020 906025 1070025 1087230 1195953 1426700 1594604 1812050 1993255 2140050 2174460 2391906 2718075 3624100 3986510 4280100 4783812 5436150 5979765 7973020 9966275 10872300 11959530 19932550 23919060 29898825 39865100 47004577 59797650 94009154 119595300 141013731 188018308 235022885 282027462 470045770 517050347 564054924 705068655 940091540 1034100694 1175114425 1410137310 1551151041 2068201388 2350228850 2585251735 2820274620 3102302082 3525343275 4700457700 5170503470 6204604164 7050686550 7755755205 10341006940 12926258675 14101373100 15511510410 25852517350 31023020820 38778776025 51705034700 77557552050 155115104100