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151101046100 = 2252232913117293
BaseRepresentation
bin1000110010111001010…
…0101111110101010100
3112110000111021110011202
42030232110233311110
54433423331433400
6153225335452032
713626265462124
oct2145624576524
9473014243152
10151101046100
1159099668404
122534b527018
1311330708324
147455ac2c84
153de55c04d5
hex232e52fd54

151101046100 has 144 divisors (see below), whose sum is σ = 356665921920. Its totient is φ = 55389734400.

The previous prime is 151101046079. The next prime is 151101046111. The reversal of 151101046100 is 1640101151.

It is a happy number.

It is a super-2 number, since 2×1511010461002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8729054 + ... + 8746346.

It is an arithmetic number, because the mean of its divisors is an integer number (2476846680).

Almost surely, 2151101046100 is an apocalyptic number.

151101046100 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 151101046100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178332960960).

151101046100 is an abundant number, since it is smaller than the sum of its proper divisors (205564875820).

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

151101046100 is a wasteful number, since it uses less digits than its factorization.

151101046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17483 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 151101046100 its reverse (1640101151), we get a palindrome (152741147251).

The spelling of 151101046100 in words is "one hundred fifty-one billion, one hundred one million, forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 131 145 230 262 290 460 524 575 580 655 667 725 1150 1310 1334 1450 2300 2620 2668 2900 3013 3275 3335 3799 6026 6550 6670 7598 12052 13100 13340 15065 15196 16675 17293 18995 30130 33350 34586 37990 60260 66700 69172 75325 75980 86465 87377 94975 150650 172930 174754 189950 301300 345860 349508 379900 397739 432325 436885 501497 795478 864650 873770 1002994 1590956 1729300 1747540 1988695 2005988 2184425 2265383 2507485 3977390 4368850 4530766 5014970 7954780 8737700 9061532 9943475 10029940 11326915 11534431 12537425 19886950 22653830 23068862 25074850 39773900 45307660 46137724 50149700 52103809 56634575 57672155 65696107 104207618 113269150 115344310 131392214 208415236 226538300 230688620 260519045 262784428 288360775 328480535 521038090 576721550 656961070 1042076180 1153443100 1302595225 1313922140 1511010461 1642402675 2605190450 3022020922 3284805350 5210380900 6044041844 6569610700 7555052305 15110104610 30220209220 37775261525 75550523050 151101046100