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31213141430121 = 3272421716783993
BaseRepresentation
bin1110001100011011000000…
…01101010000111101101001
311002111221120111022200120200
413012031200031100331221
513042344003201230441
6150215041430142413
76401034512404500
oct706154015207551
9132457514280520
1031213141430121
119a444676810a2
123601395ab1a09
1314555044b6bc1
1479ca1cd37837
15391dd35517b6
hex1c6360350f69

31213141430121 has 36 divisors (see below), whose sum is σ = 52459011038772. Its totient is φ = 17831850188544.

The previous prime is 31213141430117. The next prime is 31213141430123. The reversal of 31213141430121 is 12103414131213.

31213141430121 is a `hidden beast` number, since 3 + 1 + 21 + 314 + 1 + 4 + 301 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12044821419225 + 19168320010896 = 3470565^2 + 4378164^2 .

It is not a de Polignac number, because 31213141430121 - 22 = 31213141430117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31213141430123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6532300 + ... + 10251693.

It is an arithmetic number, because the mean of its divisors is an integer number (1457194751077).

Almost surely, 231213141430121 is an apocalyptic number.

It is an amenable number.

31213141430121 is a deficient number, since it is larger than the sum of its proper divisors (21245869608651).

31213141430121 is a wasteful number, since it uses less digits than its factorization.

31213141430121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788230 (or 16788220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 31213141430121 its reverse (12103414131213), we get a palindrome (43316555561334).

The spelling of 31213141430121 in words is "thirty-one trillion, two hundred thirteen billion, one hundred forty-one million, four hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4217 12651 29519 37953 88557 206633 265671 619899 1859697 16783993 50351979 117487951 151055937 352463853 822415657 1057391559 2467246971 7401740913 70778098481 212334295443 495446689367 637002886329 1486340068101 3468126825569 4459020204303 10404380476707 31213141430121