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118341138900 = 223527913935923
BaseRepresentation
bin110111000110110101…
…1100111100111010100
3102022110101201201212110
41232031223213213110
53414330312421100
6130210513151020
711356414040445
oct1561553474724
9368411651773
10118341138900
1146208540236
121ab2825b470
13b20c612b5a
145a28ccd2cc
15312952b250
hex1b8dae79d4

118341138900 has 144 divisors (see below), whose sum is σ = 349238758400. Its totient is φ = 30933152640.

The previous prime is 118341138889. The next prime is 118341138917. The reversal of 118341138900 is 9831143811.

It is a super-2 number, since 2×1183411389002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3276339 + ... + 3312261.

Almost surely, 2118341138900 is an apocalyptic number.

118341138900 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 118341138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174619379200).

118341138900 is an abundant number, since it is smaller than the sum of its proper divisors (230897619500).

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

118341138900 is a wasteful number, since it uses less digits than its factorization.

118341138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36158 (or 36151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 118341138900 in words is "one hundred eighteen billion, three hundred forty-one million, one hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 139 150 158 237 278 300 316 395 417 474 556 695 790 834 948 1185 1390 1580 1668 1975 2085 2370 2780 3475 3950 4170 4740 5925 6950 7900 8340 10425 10981 11850 13900 20850 21962 23700 32943 35923 41700 43924 54905 65886 71846 107769 109810 131772 143692 164715 179615 215538 219620 274525 329430 359230 431076 538845 549050 658860 718460 823575 898075 1077690 1098100 1647150 1796150 2155380 2694225 2837917 3294300 3592300 4993297 5388450 5675834 8513751 9986594 10776900 11351668 14189585 14979891 17027502 19973188 24966485 28379170 29959782 34055004 42568755 49932970 56758340 59919564 70947925 74899455 85137510 99865940 124832425 141895850 149798910 170275020 212843775 249664850 283791700 299597820 374497275 394470463 425687550 499329700 748994550 788940926 851375100 1183411389 1497989100 1577881852 1972352315 2366822778 3944704630 4733645556 5917056945 7889409260 9861761575 11834113890 19723523150 23668227780 29585284725 39447046300 59170569450 118341138900