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313121001031041 = 372326312172025437
BaseRepresentation
bin100011100110010000010101…
…0000010011100010110000001
31112001200002000221020101001210
41013030200222002130112001
5312020133302230443131
63025541445124520333
7122645150206160640
oct10714405202342601
91461602027211053
10313121001031041
1190851964041815
122b150b458500a9
1310594250785b48
1457471ccadd357
15262eee0cd3146
hex11cc82a09c581

313121001031041 has 64 divisors (see below), whose sum is σ = 500185835347968. Its totient is φ = 170355954413568.

The previous prime is 313121001031021. The next prime is 313121001031103. The reversal of 313121001031041 is 140130100121313.

It is not a de Polignac number, because 313121001031041 - 237 = 312983562077569 is a prime.

It is a super-2 number, since 2×3131210010310412 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313121001030999 and 313121001031017.

It is not an unprimeable number, because it can be changed into a prime (313121001031021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153581575 + ... + 155607011.

It is an arithmetic number, because the mean of its divisors is an integer number (7815403677312).

Almost surely, 2313121001031041 is an apocalyptic number.

It is an amenable number.

313121001031041 is a deficient number, since it is larger than the sum of its proper divisors (187064834316927).

313121001031041 is a wasteful number, since it uses less digits than its factorization.

313121001031041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026950.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 313121001031041 its reverse (140130100121313), we get a palindrome (453251101152354).

The spelling of 313121001031041 in words is "three hundred thirteen trillion, one hundred twenty-one billion, one million, thirty-one thousand, forty-one".

Divisors: 1 3 7 21 23 69 161 263 483 789 1217 1841 3651 5523 6049 8519 18147 25557 27991 42343 83973 127029 195937 320071 587811 960213 2025437 2240497 6076311 6721491 7361633 14178059 22084899 42534177 46585051 51531431 139755153 154594293 326095357 532689931 978286071 1598069793 2464956829 3728829517 7394870487 11186488551 12251868413 17254697803 36755605239 51764093409 56694007067 85763078891 170082021201 257289236673 396858049469 648283646027 1190574148407 1944850938081 4537985522189 13613956566567 14910523858621 44731571575863 104373667010347 313121001031041