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109334232200 = 235210322272
BaseRepresentation
bin110010111010011010…
…0111111110010001000
3101110012200122110122102
41211310310333302020
53242404030412300
6122121044012532
710620255432314
oct1456464776210
9343180573572
10109334232200
1142406361996
1219233991148
13a4055b4c6b
1454129dab44
152c9d9380d5
hex1974d3fc88

109334232200 has 108 divisors (see below), whose sum is σ = 257829824565. Its totient is φ = 43118304960.

The previous prime is 109334232197. The next prime is 109334232221. The reversal of 109334232200 is 2232433901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107147547556 + 2186684644 = 327334^2 + 46762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=233810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 481648487 + ... + 481648713.

Almost surely, 2109334232200 is an apocalyptic number.

109334232200 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 109334232200

109334232200 is an abundant number, since it is smaller than the sum of its proper divisors (148495592365).

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

109334232200 is an equidigital number, since it uses as much as digits as its factorization.

109334232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 109334232200 in words is "one hundred nine billion, three hundred thirty-four million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 227 412 454 515 824 908 1030 1135 1816 2060 2270 2575 4120 4540 5150 5675 9080 10300 10609 11350 20600 21218 22700 23381 42436 45400 46762 51529 53045 84872 93524 103058 106090 116905 187048 206116 212180 233810 257645 265225 412232 424360 467620 515290 530450 584525 935240 1030580 1060900 1169050 1288225 2061160 2121800 2338100 2408243 2576450 4676200 4816486 5152900 5307487 9632972 10305800 10614974 12041215 19265944 21229948 24082430 26537435 42459896 48164860 53074870 60206075 96329720 106149740 120412150 132687175 212299480 240824300 265374350 481648600 530748700 546671161 1061497400 1093342322 2186684644 2733355805 4373369288 5466711610 10933423220 13666779025 21866846440 27333558050 54667116100 109334232200