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13931113800 = 23352231009501
BaseRepresentation
bin11001111100101101…
…11110110101001000
31022221212211220110210
430332112332311020
5212012331120200
610222212041120
71002140341062
oct147626766510
938855756423
1013931113800
1159a9828a9a
1228496031a0
131410270306
149622a4732
15568077650
hex33e5bed48

13931113800 has 96 divisors (see below), whose sum is σ = 45064169280. Its totient is φ = 3553440000.

The previous prime is 13931113799. The next prime is 13931113817. The reversal of 13931113800 is 831113931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 490951 + ... + 518550.

It is an arithmetic number, because the mean of its divisors is an integer number (469418430).

Almost surely, 213931113800 is an apocalyptic number.

13931113800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13931113800 is an abundant number, since it is smaller than the sum of its proper divisors (31133055480).

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

13931113800 is a wasteful number, since it uses less digits than its factorization.

13931113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009543 (or 1009534 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 13931113800 in words is "thirteen billion, nine hundred thirty-one million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 1009501 2019002 3028503 4038004 5047505 6057006 8076008 10095010 12114012 15142515 20190020 23218523 24228024 25237525 30285030 40380040 46437046 50475050 60570060 69655569 75712575 92874092 100950100 116092615 121140120 139311138 151425150 185748184 201900200 232185230 278622276 302850300 348277845 464370460 557244552 580463075 605700600 696555690 928740920 1160926150 1393111380 1741389225 2321852300 2786222760 3482778450 4643704600 6965556900 13931113800