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10342331412 = 22372171915417
BaseRepresentation
bin10011010000111001…
…10111010000010100
3222200202220212112120
421220130313100110
5132140114101122
64430132015540
7514202236500
oct115034672024
928622825476
1010342331412
114427a81736
1220077615b0
13c8a8ba03a
147017d5300
15407e7e75c
hex268737414

10342331412 has 144 divisors (see below), whose sum is σ = 29884474368. Its totient is φ = 2766059520.

The previous prime is 10342331401. The next prime is 10342331413. The reversal of 10342331412 is 21413324301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342331413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906528 + ... + 1911944.

It is an arithmetic number, because the mean of its divisors is an integer number (207531072).

Almost surely, 210342331412 is an apocalyptic number.

10342331412 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 10342331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942237184).

10342331412 is an abundant number, since it is smaller than the sum of its proper divisors (19542142956).

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

10342331412 is a wasteful number, since it uses less digits than its factorization.

10342331412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10342331412 its reverse (21413324301), we get a palindrome (31755655713).

The spelling of 10342331412 in words is "ten billion, three hundred forty-two million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 191 196 204 238 294 357 382 476 573 588 714 764 833 1146 1337 1428 1666 2292 2499 2674 3247 3332 4011 4998 5348 5417 6494 8022 9359 9741 9996 10834 12988 16044 16251 18718 19482 21668 22729 28077 32502 37436 37919 38964 45458 56154 65004 68187 75838 90916 92089 112308 113757 136374 151676 159103 184178 227514 265433 272748 276267 318206 368356 455028 477309 530866 552534 636412 644623 796299 954618 1034647 1061732 1105068 1289246 1592598 1909236 1933869 2069294 2578492 3103941 3185196 3867738 4138588 4512361 6207882 7242529 7735476 9024722 12415764 13537083 14485058 17588999 18049444 21727587 27074166 28970116 35177998 43455174 50697703 52766997 54148332 70355996 86910348 101395406 105533994 123122993 152093109 202790812 211067988 246245986 304186218 369368979 492491972 608372436 738737958 861860951 1477475916 1723721902 2585582853 3447443804 5171165706 10342331412