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71003120130 = 237531104729
BaseRepresentation
bin100001000100000011…
…1011010001000000010
320210021022220020000000
41002020013122020002
52130403244321010
652341323140430
75062344364065
oct1021007321002
9223238806000
1071003120130
1128126457078
1211916974716
136907207a67
143617d368dc
151ca870b7c0
hex10881da202

71003120130 has 128 divisors (see below), whose sum is σ = 197864294400. Its totient is φ = 18323210880.

The previous prime is 71003120051. The next prime is 71003120203. The reversal of 71003120130 is 3102130017.

It is a super-2 number, since 2×710031201302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625606 + ... + 730334.

It is an arithmetic number, because the mean of its divisors is an integer number (1545814800).

Almost surely, 271003120130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71003120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98932147200).

71003120130 is an abundant number, since it is smaller than the sum of its proper divisors (126861174270).

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

71003120130 is a wasteful number, since it uses less digits than its factorization.

71003120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104788 (or 104770 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 71003120130 its reverse (3102130017), we get a palindrome (74105250147).

The spelling of 71003120130 in words is "seventy-one billion, three million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 729 810 837 930 1215 1395 1458 1674 2187 2430 2511 2790 3645 4185 4374 5022 7290 7533 8370 10935 12555 15066 21870 22599 25110 37665 45198 67797 75330 104729 112995 135594 209458 225990 314187 338985 523645 628374 677970 942561 1047290 1570935 1885122 2827683 3141870 3246599 4712805 5655366 6493198 8483049 9425610 9739797 14138415 16232995 16966098 19479594 25449147 28276830 29219391 32465990 42415245 48698985 50898294 58438782 76347441 84830490 87658173 97397970 127245735 146096955 152694882 175316346 229042323 254491470 262974519 292193910 381737205 438290865 458084646 525949038 763474410 788923557 876581730 1145211615 1314872595 1577847114 2290423230 2366770671 2629745190 3944617785 4733541342 7100312013 7889235570 11833853355 14200624026 23667706710 35501560065 71003120130