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31013223200301 = 31921091371917659
BaseRepresentation
bin1110000110100110101000…
…01001101111011000101101
311001210211112211220100200110
413003103110021233120231
513031110040114402201
6145543140020450233
76350426403445506
oct703232411573055
9131724484810613
1031013223200301
1199776a7a90061
12358a6a1849979
13143c6c40c7a64
14793095a5dbad
1538bad23806d6
hex1c34d426f62d

31013223200301 has 48 divisors (see below), whose sum is σ = 44363760091200. Its totient is φ = 19265927521536.

The previous prime is 31013223200203. The next prime is 31013223200359. The reversal of 31013223200301 is 10300232231013.

It is not a de Polignac number, because 31013223200301 - 233 = 31004633265709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013223200371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15213610 + ... + 17131268.

It is an arithmetic number, because the mean of its divisors is an integer number (924245001900).

Almost surely, 231013223200301 is an apocalyptic number.

It is an amenable number.

31013223200301 is a deficient number, since it is larger than the sum of its proper divisors (13350536890899).

31013223200301 is a wasteful number, since it uses less digits than its factorization.

31013223200301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917946 (or 1917927 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31013223200301 its reverse (10300232231013), we get a palindrome (41313455431314).

The spelling of 31013223200301 in words is "thirty-one trillion, thirteen billion, two hundred twenty-three million, two hundred thousand, three hundred one".

Divisors: 1 3 19 57 109 137 327 361 411 1083 2071 2603 6213 7809 14933 39349 44799 49457 118047 148371 283727 851181 1917659 5390813 5752977 16172439 36435521 109306563 209024831 262719283 627074493 692274899 788157849 2076824697 3971471789 4991666377 11914415367 14974999131 28636401847 75457963991 85909205541 94841661163 226373891973 284524983489 544091635093 1632274905279 10337741066767 31013223200301