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13123908200 = 23521317296921
BaseRepresentation
bin11000011100011111…
…01111001001101000
31020212121221121120002
430032033233021220
5203334210030300
610010134522132
7643136244014
oct141617571150
936777847502
1013123908200
115625116527
122663206348
131311c66770
148c6dc1544
1551c27a5d5
hex30e3ef268

13123908200 has 96 divisors (see below), whose sum is σ = 34793319960. Its totient is φ = 4560691200.

The previous prime is 13123908199. The next prime is 13123908221. The reversal of 13123908200 is 280932131.

It can be written as a sum of positive squares in 12 ways, for example, as 2468301124 + 10655607076 = 49682^2 + 103226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104261 + ... + 192660.

Almost surely, 213123908200 is an apocalyptic number.

13123908200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123908200 is an abundant number, since it is smaller than the sum of its proper divisors (21669411760).

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

13123908200 is a wasteful number, since it uses less digits than its factorization.

13123908200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296967 (or 296958 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 13123908200 in words is "thirteen billion, one hundred twenty-three million, nine hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 296921 593842 1187684 1484605 2375368 2969210 3859973 5047657 5938420 7423025 7719946 10095314 11876840 14846050 15439892 19299865 20190628 25238285 29692100 30879784 38599730 40381256 50476570 59384200 65619541 77199460 96499325 100953140 126191425 131239082 154398920 192998650 201906280 252382850 262478164 328097705 385997300 504765700 524956328 656195410 771994600 1009531400 1312390820 1640488525 2624781640 3280977050 6561954100 13123908200