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33130020223200 = 2535245667302279
BaseRepresentation
bin1111000100001101011110…
…00101100011100011100000
311100022012101001221201120110
413202012233011203203200
513320300240134120300
6154243415435211320
76656364533326365
oct742065705434340
9140265331851513
1033130020223200
11a6133a979994a
1238709a08a6b40
1315641bc0a4864
148277042d446c
153c6bc4028550
hex1e21af1638e0

33130020223200 has 144 divisors (see below), whose sum is σ = 107840933988480. Its totient is φ = 8834449374720.

The previous prime is 33130020223189. The next prime is 33130020223207. The reversal of 33130020223200 is 232202003133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130020223207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109449661 + ... + 109751939.

It is an arithmetic number, because the mean of its divisors is an integer number (748895374920).

Almost surely, 233130020223200 is an apocalyptic number.

33130020223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33130020223200 is an abundant number, since it is smaller than the sum of its proper divisors (74710913765280).

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

33130020223200 is a wasteful number, since it uses less digits than its factorization.

33130020223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347969 (or 347956 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33130020223200 its reverse (232202003133), we get a palindrome (33362222226333).

The spelling of 33130020223200 in words is "thirty-three trillion, one hundred thirty billion, twenty million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 45667 91334 137001 182668 228335 274002 302279 365336 456670 548004 604558 685005 730672 906837 913340 1096008 1141675 1209116 1370010 1461344 1511395 1813674 1826680 2192016 2283350 2418232 2740020 3022790 3425025 3627348 3653360 4384032 4534185 4566700 4836464 5480040 6045580 6850050 7254696 7306720 7556975 9068370 9133400 9672928 10960080 12091160 13700100 14509392 15113950 18136740 18266800 21920160 22670925 24182320 27400200 29018784 30227900 36273480 36533600 45341850 48364640 54800400 60455800 72546960 90683700 109600800 120911600 145093920 181367400 241823200 362734800 725469600 13804175093 27608350186 41412525279 55216700372 69020875465 82825050558 110433400744 138041750930 165650101116 207062626395 220866801488 276083501860 331300202232 345104377325 414125252790 441733602976 552167003720 662600404464 690208754650 828250505580 1035313131975 1104334007440 1325200808928 1380417509300 1656501011160 2070626263950 2208668014880 2760835018600 3313002022320 4141252527900 5521670037200 6626004044640 8282505055800 11043340074400 16565010111600 33130020223200