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10231013124 = 2234293832843
BaseRepresentation
bin10011000011101000…
…01101111100000100
3222102000110022120000
421201310031330010
5131423114404444
64411114041300
7511351114413
oct114164157404
928360408500
1010231013124
11438015a652
121b96419230
13c70812927
146d0ad947a
153ed2e1469
hex261d0df04

10231013124 has 120 divisors (see below), whose sum is σ = 27750159360. Its totient is φ = 3282987456.

The previous prime is 10231013071. The next prime is 10231013137. The reversal of 10231013124 is 42131013201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10231013097 and 10231013106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3597247 + ... + 3600089.

It is an arithmetic number, because the mean of its divisors is an integer number (231251328).

Almost surely, 210231013124 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 10231013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875079680).

10231013124 is an abundant number, since it is smaller than the sum of its proper divisors (17519146236).

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

10231013124 is a wasteful number, since it uses less digits than its factorization.

10231013124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10231013124 its reverse (42131013201), we get a palindrome (52362026325).

The spelling of 10231013124 in words is "ten billion, two hundred thirty-one million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 383 522 766 783 1044 1149 1532 1566 2298 2349 2843 3132 3447 4596 4698 5686 6894 8529 9396 10341 11107 11372 13788 17058 20682 22214 25587 31023 33321 34116 41364 44428 51174 62046 66642 76761 82447 99963 102348 124092 133284 153522 164894 199926 230283 247341 299889 307044 329788 399852 460566 494682 599778 742023 899667 921132 989364 1088869 1199556 1484046 1799334 2177738 2226069 2968092 3266607 3598668 4355476 4452138 6533214 6678207 8904276 9799821 13066428 13356414 19599642 26712828 29399463 31577201 39199284 58798926 63154402 88198389 94731603 117597852 126308804 176396778 189463206 284194809 352793556 378926412 568389618 852584427 1136779236 1705168854 2557753281 3410337708 5115506562 10231013124