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1010031121314 = 232191379775157
BaseRepresentation
bin11101011001010101000…
…10111101001110100010
310120120001210202012000200
432230222202331032202
5113022020431340224
62052000224130030
7132654340606455
oct16545242751642
93516053665020
101010031121314
1135a3962668a6
12143901466916
1374326561497
1436c5878b49c
151b4172205c9
hexeb2a8bd3a2

1010031121314 has 48 divisors (see below), whose sum is σ = 2205665579520. Its totient is φ = 334030223520.

The previous prime is 1010031121283. The next prime is 1010031121339. The reversal of 1010031121314 is 4131211300101.

It is a happy number.

1010031121314 is a `hidden beast` number, since 10 + 10 + 0 + 311 + 21 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915424 + ... + 1690580.

It is an arithmetic number, because the mean of its divisors is an integer number (45951366240).

Almost surely, 21010031121314 is an apocalyptic number.

1010031121314 is an abundant number, since it is smaller than the sum of its proper divisors (1195634458206).

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

1010031121314 is a wasteful number, since it uses less digits than its factorization.

1010031121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775735 (or 775732 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010031121314 its reverse (4131211300101), we get a palindrome (5141242421415).

The spelling of 1010031121314 in words is "one trillion, ten billion, thirty-one million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 191 379 382 573 758 1137 1146 1719 2274 3411 3438 6822 72389 144778 217167 434334 651501 775157 1303002 1550314 2325471 4650942 6976413 13952826 148054987 293784503 296109974 444164961 587569006 881353509 888329922 1332494883 1762707018 2644060527 2664989766 5288121054 56112840073 112225680146 168338520219 336677040438 505015560657 1010031121314