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31189230400 = 2652191102059
BaseRepresentation
bin11101000011000001…
…011110001101000000
32222111122001001210111
4131003001132031000
51002333420333100
622154513241104
72152620040606
oct350301361500
988448031714
1031189230400
1112255564479
126065263194
132c30888623
14171c373876
15c282386ba
hex74305e340

31189230400 has 84 divisors (see below), whose sum is σ = 77147562240. Its totient is φ = 12410252800.

The previous prime is 31189230389. The next prime is 31189230403. The reversal of 31189230400 is 403298113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31189230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254571 + ... + 356629.

It is an arithmetic number, because the mean of its divisors is an integer number (918423360).

Almost surely, 231189230400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31189230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38573781120).

31189230400 is an abundant number, since it is smaller than the sum of its proper divisors (45958331840).

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

31189230400 is a wasteful number, since it uses less digits than its factorization.

31189230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102272 (or 102257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 31189230400 in words is "thirty-one billion, one hundred eighty-nine million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 191 200 320 382 400 764 800 955 1528 1600 1910 3056 3820 4775 6112 7640 9550 12224 15280 19100 30560 38200 61120 76400 102059 152800 204118 305600 408236 510295 816472 1020590 1632944 2041180 2551475 3265888 4082360 5102950 6531776 8164720 10205900 16329440 19493269 20411800 32658880 38986538 40823600 77973076 81647200 97466345 155946152 163294400 194932690 311892304 389865380 487331725 623784608 779730760 974663450 1247569216 1559461520 1949326900 3118923040 3898653800 6237846080 7797307600 15594615200 31189230400