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33054322131 = 351274012671
BaseRepresentation
bin11110110010001100…
…001110110111010011
310011022121112112200000
4132302030032313103
51020143401302011
623103540501043
72250055050045
oct366214166723
9104277475600
1033054322131
11130223374a6
1264a59aa783
13316a0b90bc
141857d51a95
15cd6d4d356
hex7b230edd3

33054322131 has 48 divisors (see below), whose sum is σ = 50046517248. Its totient is φ = 21800016000.

The previous prime is 33054322129. The next prime is 33054322153. The reversal of 33054322131 is 13122345033.

33054322131 is a `hidden beast` number, since 3 + 305 + 4 + 322 + 1 + 31 = 666.

It is not a de Polignac number, because 33054322131 - 21 = 33054322129 is a prime.

It is a super-2 number, since 2×330543221312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33054322095 and 33054322104.

It is not an unprimeable number, because it can be changed into a prime (33054322531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12373926 + ... + 12376596.

It is an arithmetic number, because the mean of its divisors is an integer number (1042635776).

Almost surely, 233054322131 is an apocalyptic number.

33054322131 is a deficient number, since it is larger than the sum of its proper divisors (16992195117).

33054322131 is a wasteful number, since it uses less digits than its factorization.

33054322131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 33054322131 its reverse (13122345033), we get a palindrome (46176667164).

The spelling of 33054322131 in words is "thirty-three billion, fifty-four million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 127 243 381 401 1143 1203 2671 3429 3609 8013 10287 10827 24039 30861 32481 50927 72117 97443 152781 216351 339217 458343 649053 1017651 1071071 1375029 3052953 3213213 4125087 9158859 9639639 12375261 27476577 28918917 82429731 86756751 136026017 260270253 408078051 1224234153 3672702459 11018107377 33054322131