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13123157082 = 23719294113831
BaseRepresentation
bin11000011100011001…
…10111110001011010
31020212120112110012220
430032030313301122
5203334012011312
610010110444510
7643126665120
oct141614676132
936776473186
1013123157082
115624753172
122662b03736
131311a62909
148c6c67910
1551c17cc8c
hex30e337c5a

13123157082 has 128 divisors (see below), whose sum is σ = 33462374400. Its totient is φ = 3345753600.

The previous prime is 13123157059. The next prime is 13123157137. The reversal of 13123157082 is 28075132131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941907 + ... + 955737.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 213123157082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123157082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731187200).

13123157082 is an abundant number, since it is smaller than the sum of its proper divisors (20339217318).

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

13123157082 is a wasteful number, since it uses less digits than its factorization.

13123157082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932.

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 13123157082 in words is "thirteen billion, one hundred twenty-three million, one hundred fifty-seven thousand, eighty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 41 42 57 58 82 87 114 123 133 174 203 246 266 287 399 406 551 574 609 779 798 861 1102 1189 1218 1558 1653 1722 2337 2378 3306 3567 3857 4674 5453 7134 7714 8323 10906 11571 13831 16359 16646 22591 23142 24969 27662 32718 41493 45182 49938 67773 82986 96817 135546 158137 193634 262789 290451 316274 401099 474411 525578 567071 580902 788367 802198 948822 1134142 1203297 1576734 1701213 1839523 2406594 2807693 3402426 3679046 3969497 5518569 5615386 7620881 7938994 8423079 10774349 11037138 11908491 15241762 16445059 16846158 21548698 22862643 23816982 32323047 32890118 45725286 49335177 53346167 64646094 75420443 98670354 106692334 115115413 150840886 160038501 226261329 230230826 312456121 320077002 345346239 452522658 624912242 690692478 937368363 1874736726 2187192847 4374385694 6561578541 13123157082