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10141342232 = 2372316113681
BaseRepresentation
bin10010111000111100…
…01001101000011000
3222011202201120012212
421130132021220120
5131232140422412
64354152054252
7506211662300
oct113436115030
928152646185
1010141342232
11433458357a
121b70394388
13c58077728
146c2c36600
153e54cc222
hex25c789a18

10141342232 has 96 divisors (see below), whose sum is σ = 23209050240. Its totient is φ = 4136832000.

The previous prime is 10141342219. The next prime is 10141342241. The reversal of 10141342232 is 23224314101.

It is a junction number, because it is equal to n+sod(n) for n = 10141342198 and 10141342207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734432 + ... + 748112.

It is an arithmetic number, because the mean of its divisors is an integer number (241760940).

Almost surely, 210141342232 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 10141342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604525120).

10141342232 is an abundant number, since it is smaller than the sum of its proper divisors (13067708008).

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

10141342232 is a wasteful number, since it uses less digits than its factorization.

10141342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10141342232 its reverse (23224314101), we get a palindrome (33365656333).

The spelling of 10141342232 in words is "ten billion, one hundred forty-one million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 61 62 98 122 124 196 217 244 248 392 427 434 488 854 868 1519 1708 1736 1891 2989 3038 3416 3782 5978 6076 7564 11956 12152 13237 13681 15128 23912 26474 27362 52948 54724 92659 95767 105896 109448 185318 191534 370636 383068 424111 670369 741272 766136 834541 848222 1340738 1669082 1696444 2681476 2968777 3338164 3392888 5362952 5841787 5937554 6676328 11683574 11875108 20781439 23367148 23750216 25870771 40892509 41562878 46734296 51741542 81785018 83125756 103483084 163570036 166251512 181095397 206966168 327140072 362190794 724381588 1267667779 1448763176 2535335558 5070671116 10141342232