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33130404100 = 22521719488473
BaseRepresentation
bin11110110110101110…
…011101100100000100
310011111220200220111201
4132312232131210010
51020322340412400
623115255312244
72252000534263
oct366656354404
9104456626451
1033130404100
1113061281a62
12650737b684
13317caa7011
1418640b85da
15cdd87b06a
hex7b6b9d904

33130404100 has 36 divisors (see below), whose sum is σ = 76121979444. Its totient is φ = 12472622080.

The previous prime is 33130404091. The next prime is 33130404113. The reversal of 33130404100 is 140403133.

It can be written as a sum of positive squares in 6 ways, for example, as 525601476 + 32604802624 = 22926^2 + 180568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9742537 + ... + 9745936.

It is an arithmetic number, because the mean of its divisors is an integer number (2114499429).

Almost surely, 233130404100 is an apocalyptic number.

It is an amenable number.

33130404100 is an abundant number, since it is smaller than the sum of its proper divisors (42991575344).

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

33130404100 is a wasteful number, since it uses less digits than its factorization.

33130404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488504 (or 19488497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 33130404100 its reverse (140403133), we get a palindrome (33270807233).

The spelling of 33130404100 in words is "thirty-three billion, one hundred thirty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 19488473 38976946 77953892 97442365 194884730 331304041 389769460 487211825 662608082 974423650 1325216164 1656520205 1948847300 3313040410 6626080820 8282601025 16565202050 33130404100