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10312412136 = 23313316911543
BaseRepresentation
bin10011001101010101…
…01110101111101000
3222121200121211000020
421212222232233220
5132104434142021
64423142440440
7513360025335
oct114652565750
928550554006
1010312412136
1144120a6964
121bb9733120
13c84642a20
146db84798c
1540551e7c6
hex266aaebe8

10312412136 has 128 divisors (see below), whose sum is σ = 28719882240. Its totient is φ = 3064262400.

The previous prime is 10312412113. The next prime is 10312412137. The reversal of 10312412136 is 63121421301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10312412137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6682581 + ... + 6684123.

It is an arithmetic number, because the mean of its divisors is an integer number (224374080).

Almost surely, 210312412136 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 10312412136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359941120).

10312412136 is an abundant number, since it is smaller than the sum of its proper divisors (18407470104).

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

10312412136 is a wasteful number, since it uses less digits than its factorization.

10312412136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10312412136 its reverse (63121421301), we get a palindrome (73433833437).

The spelling of 10312412136 in words is "ten billion, three hundred twelve million, four hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 691 744 806 1209 1382 1543 1612 2073 2418 2764 3086 3224 4146 4629 4836 5528 6172 8292 8983 9258 9672 12344 16584 17966 18516 20059 21421 26949 35932 37032 40118 42842 47833 53898 60177 64263 71864 80236 85684 95666 107796 120354 128526 143499 160472 171368 191332 215592 240708 257052 278473 286998 382664 481416 514104 556946 573996 621829 835419 1066213 1113892 1147992 1243658 1670838 1865487 2132426 2227784 2487316 3198639 3341676 3730974 4264852 4974632 6397278 6683352 7461948 8529704 12794556 13860769 14923896 25589112 27721538 33052603 41582307 55443076 66105206 83164614 99157809 110886152 132210412 166329228 198315618 264420824 332658456 396631236 429683839 793262472 859367678 1289051517 1718735356 2578103034 3437470712 5156206068 10312412136