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101443011042312 = 233229256031897583
BaseRepresentation
bin10111000100001100001010…
…101000110101110000001000
3111022011212010212011122210200
4113010030022220311300020
5101244020241311323222
6555430135333212200
730240005244466152
oct2704141250656010
9438155125148720
10101443011042312
112a360815135125
12b464403191060
13447b05b8819c4
141b09c21867ad2
15badb7393beac
hex5c430aa35c08

101443011042312 has 96 divisors (see below), whose sum is σ = 284226583305600. Its totient is φ = 32647033012608.

The previous prime is 101443011042259. The next prime is 101443011042319. The reversal of 101443011042312 is 213240110344101.

It is a happy number.

101443011042312 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 301 + 1 + 0 + 42 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (101443011042319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52510273 + ... + 54407855.

It is an arithmetic number, because the mean of its divisors is an integer number (2960693576100).

Almost surely, 2101443011042312 is an apocalyptic number.

101443011042312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101443011042312 is an abundant number, since it is smaller than the sum of its proper divisors (182783572263288).

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

101443011042312 is a wasteful number, since it uses less digits than its factorization.

101443011042312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923227 (or 1923220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101443011042312 its reverse (213240110344101), we get a palindrome (314683121386413).

The spelling of 101443011042312 in words is "one hundred one trillion, four hundred forty-three billion, eleven million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 25603 51206 76809 102412 153618 204824 230427 307236 460854 614472 742487 921708 1484974 1843416 1897583 2227461 2969948 3795166 4454922 5692749 5939896 6682383 7590332 8909844 11385498 13364766 15180664 17078247 17819688 22770996 26729532 34156494 45541992 53459064 55029907 68312988 110059814 136625976 165089721 220119628 330179442 440239256 495269163 660358884 990538326 1320717768 1981076652 3962153304 48583817549 97167635098 145751452647 194335270196 291502905294 388670540392 437254357941 583005810588 874508715882 1166011621176 1408930708921 1749017431764 2817861417842 3498034863528 4226792126763 5635722835684 8453584253526 11271445671368 12680376380289 16907168507052 25360752760578 33814337014104 50721505521156 101443011042312