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10301001312 = 2537101151771
BaseRepresentation
bin10011001011111110…
…01100111001100000
3222120220011002022010
421211333030321200
5132044024020222
64422054112520
7513161031540
oct114577147140
928526132263
1010301001312
114406712828
121bb594b740
13c82178c64
146da117320
1540451880c
hex265fcce60

10301001312 has 96 divisors (see below), whose sum is σ = 31209179904. Its totient is φ = 2913984000.

The previous prime is 10301001299. The next prime is 10301001341. The reversal of 10301001312 is 21310010301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103010013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8014 + ... + 143757.

It is an arithmetic number, because the mean of its divisors is an integer number (325095624).

Almost surely, 210301001312 is an apocalyptic number.

10301001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604589952).

10301001312 is an abundant number, since it is smaller than the sum of its proper divisors (20908178592).

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

10301001312 is a wasteful number, since it uses less digits than its factorization.

10301001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151892 (or 151884 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10301001312 its reverse (21310010301), we get a palindrome (31611011613).

The spelling of 10301001312 in words is "ten billion, three hundred one million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 151771 303542 455313 607084 910626 1062397 1214168 1821252 2124794 2428336 3187191 3642504 4249588 4856672 6374382 7285008 8499176 12748764 14570016 15328871 16998352 25497528 30657742 33996704 45986613 50995056 61315484 91973226 101990112 107302097 122630968 183946452 214604194 245261936 321906291 367892904 429208388 490523872 643812582 735785808 858416776 1287625164 1471571616 1716833552 2575250328 3433667104 5150500656 10301001312