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10134412232 = 2371711394207
BaseRepresentation
bin10010111000000111…
…01101101111001000
3222011021200111001012
421130003231233020
5131223402142412
64353343343052
7506066040230
oct113403555710
928137614035
1010134412232
11433067a9aa
121b69bb1a88
13c567bc339
146c1d50cc0
153e4aadc22
hex25c0edbc8

10134412232 has 64 divisors (see below), whose sum is σ = 23197777920. Its totient is φ = 4051611648.

The previous prime is 10134412219. The next prime is 10134412247. The reversal of 10134412232 is 23221443101.

10134412232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101344122322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10134412198 and 10134412207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60473 + ... + 154679.

It is an arithmetic number, because the mean of its divisors is an integer number (362465280).

Almost surely, 210134412232 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 10134412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598888960).

10134412232 is an abundant number, since it is smaller than the sum of its proper divisors (13063365688).

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

10134412232 is a wasteful number, since it uses less digits than its factorization.

10134412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94350 (or 94346 counting only the distinct ones).

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

Adding to 10134412232 its reverse (23221443101), we get a palindrome (33355855333).

The spelling of 10134412232 in words is "ten billion, one hundred thirty-four million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 113 119 136 226 238 452 476 791 904 952 1582 1921 3164 3842 6328 7684 13447 15368 26894 53788 94207 107576 188414 376828 659449 753656 1318898 1601519 2637796 3203038 5275592 6406076 10645391 11210633 12812152 21290782 22421266 42581564 44842532 74517737 85163128 89685064 149035474 180971647 298070948 361943294 596141896 723886588 1266801529 1447773176 2533603058 5067206116 10134412232