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31153054400 = 2652132115211
BaseRepresentation
bin11101000000110111…
…011110001011000000
32222102002222010122122
4131000313132023000
51002300140220100
622151142023412
72152000410326
oct350067361300
988362863578
1031153054400
11122370a5956
126055117b68
132c26230500
141717637d16
15c24e8e985
hex740dde2c0

31153054400 has 126 divisors (see below), whose sum is σ = 83006904852. Its totient is φ = 11502566400.

The previous prime is 31153054399. The next prime is 31153054403. The reversal of 31153054400 is 445035113.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 31153054400.

It is not an unprimeable number, because it can be changed into a prime (31153054403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 212795 + ... + 328005.

Almost surely, 231153054400 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 31153054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41503452426).

31153054400 is an abundant number, since it is smaller than the sum of its proper divisors (51853850452).

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

31153054400 is a wasteful number, since it uses less digits than its factorization.

31153054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115259 (or 115231 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 31153054400 its reverse (445035113), we get a palindrome (31598089513).

The spelling of 31153054400 in words is "thirty-one billion, one hundred fifty-three million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 169 200 208 260 320 325 338 400 416 520 650 676 800 832 845 1040 1300 1352 1600 1690 2080 2600 2704 3380 4160 4225 5200 5408 6760 8450 10400 10816 13520 16900 20800 27040 33800 54080 67600 115211 135200 230422 270400 460844 576055 921688 1152110 1497743 1843376 2304220 2880275 2995486 3686752 4608440 5760550 5990972 7373504 7488715 9216880 11521100 11981944 14977430 18433760 19470659 23042200 23963888 29954860 36867520 37443575 38941318 46084400 47927776 59909720 74887150 77882636 92168800 95855552 97353295 119819440 149774300 155765272 184337600 194706590 239638880 299548600 311530544 389413180 479277760 486766475 599097200 623061088 778826360 973532950 1198194400 1246122176 1557652720 1947065900 2396388800 3115305440 3894131800 6230610880 7788263600 15576527200 31153054400