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10031232212200 = 2352472917365839
BaseRepresentation
bin1001000111111001010000…
…0010000101110011101000
31022111222100211011000120101
42101332110002011303220
52303322430421242300
633200141235435144
72053506166642453
oct221762402056350
938458324130511
1010031232212200
113218249085341
121160153455ab4
13579c308b2964
1426972b09049a
15125e06d1bb6a
hex91f94085ce8

10031232212200 has 96 divisors (see below), whose sum is σ = 23827071398400. Its totient is φ = 3925763677440.

The previous prime is 10031232212191. The next prime is 10031232212269. The reversal of 10031232212200 is 221223213001.

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 23 ways as a sum of consecutive naturals, for example, 27236881 + ... + 27602719.

It is an arithmetic number, because the mean of its divisors is an integer number (248198660400).

Almost surely, 210031232212200 is an apocalyptic number.

10031232212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031232212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913535699200).

10031232212200 is an abundant number, since it is smaller than the sum of its proper divisors (13795839186200).

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

10031232212200 is a wasteful number, since it uses less digits than its factorization.

10031232212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368819 (or 368810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10031232212200 its reverse (221223213001), we get a palindrome (10252455425201).

The spelling of 10031232212200 in words is "ten trillion, thirty-one billion, two hundred thirty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 2917 4700 5834 9400 11668 14585 23336 29170 58340 72925 116680 137099 145850 274198 291700 365839 548396 583400 685495 731678 1096792 1370990 1463356 1829195 2741980 2926712 3427475 3658390 5483960 6854950 7316780 9145975 13709900 14633560 17194433 18291950 27419800 34388866 36583900 68777732 73167800 85972165 137555464 171944330 343888660 429860825 687777320 859721650 1067152363 1719443300 2134304726 3438886600 4268609452 5335761815 8537218904 10671523630 21343047260 26678809075 42686094520 50156161061 53357618150 100312322122 106715236300 200624644244 213430472600 250780805305 401249288488 501561610610 1003123221220 1253904026525 2006246442440 2507808053050 5015616106100 10031232212200