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33131213120 = 265103535041
BaseRepresentation
bin11110110110110001…
…100011000101000000
310011111222020000021102
4132312301203011000
51020323042304440
623115324513532
72252010444035
oct366661430500
9104458200242
1033131213120
1113061784875
1265076ab8a8
13317cccb325
14186424938c
15cdd98ab15
hex7b6c63140

33131213120 has 28 divisors (see below), whose sum is σ = 78893702004. Its totient is φ = 13252485120.

The previous prime is 33131213053. The next prime is 33131213123. The reversal of 33131213120 is 2131213133.

It can be written as a sum of positive squares in 2 ways, for example, as 6577858816 + 26553354304 = 81104^2 + 162952^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33131213092 and 33131213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131213123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51767201 + ... + 51767840.

Almost surely, 233131213120 is an apocalyptic number.

It is an amenable number.

33131213120 is an abundant number, since it is smaller than the sum of its proper divisors (45762488884).

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

33131213120 is a wasteful number, since it uses less digits than its factorization.

33131213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103535058 (or 103535048 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33131213120 its reverse (2131213133), we get a palindrome (35262426253).

The spelling of 33131213120 in words is "thirty-three billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 103535041 207070082 414140164 517675205 828280328 1035350410 1656560656 2070700820 3313121312 4141401640 6626242624 8282803280 16565606560 33131213120