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100150612244442 = 2321012291065722573
BaseRepresentation
bin10110110001011000100001…
…101010101011011111011010
3111010121022020100211021122100
4112301120201222223133122
5101111331423213310232
6553000320041504230
730044433351120564
oct2661304152533732
9433538210737570
10100150612244442
1129a026aa766671
12b295a394a2076
1343b62154ba306
141aa345ba16334
15b8a231ed9c7c
hex5b1621aab7da

100150612244442 has 96 divisors (see below), whose sum is σ = 220128792558480. Its totient is φ = 32904125337600.

The previous prime is 100150612244413. The next prime is 100150612244497. The reversal of 100150612244442 is 244442216051001.

100150612244442 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 50 + 6 + 122 + 44 + 442 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50317869933081 + 49832742311361 = 7093509^2 + 7059231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100150612244397 and 100150612244406.

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, 4436732268 + ... + 4436754840.

Almost surely, 2100150612244442 is an apocalyptic number.

100150612244442 is an abundant number, since it is smaller than the sum of its proper divisors (119978180314038).

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

100150612244442 is a wasteful number, since it uses less digits than its factorization.

100150612244442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33568 (or 33565 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 100150612244442 its reverse (244442216051001), we get a palindrome (344592828295443).

The spelling of 100150612244442 in words is "one hundred trillion, one hundred fifty billion, six hundred twelve million, two hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 101 202 229 303 458 606 687 909 1374 1818 2061 4122 10657 21314 22573 23129 31971 45146 46258 63942 67719 69387 95913 135438 138774 191826 203157 208161 406314 416322 1076357 2152714 2279873 2440453 3229071 4559746 4880906 5169217 6458142 6839619 7321359 9687213 10338434 13679238 14642718 15507651 19374426 20518857 21964077 31015302 41037714 43928154 46522953 93045906 240560461 246485753 481120922 492971506 522090917 721681383 739457259 1044181834 1443362766 1478914518 1566272751 2165044149 2218371777 3132545502 4330088298 4436743554 4698818253 9397636506 24296606561 48593213122 55088345569 72889819683 110176691138 145779639366 165265036707 218669459049 330530073414 437338918098 495795110121 991590220242 5563922902469 11127845804938 16691768707407 33383537414814 50075306122221 100150612244442