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130211004 = 223711223557
BaseRepresentation
bin1111100001011…
…01110010111100
3100002000101220210
413300231302330
5231313223004
620530512420
73140526630
oct760556274
9302011823
10130211004
1167556500
1237735710
1320c90841
1413416dc0
15b671089
hex7c2dcbc

130211004 has 144 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 32292480.

The previous prime is 130210991. The next prime is 130211033. The reversal of 130211004 is 400112031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233494 + ... + 234050.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2130211004 is an apocalyptic number.

130211004 is a gapful number since it is divisible by the number (14) 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 130211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

130211004 is an abundant number, since it is smaller than the sum of its proper divisors (268763460).

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

130211004 is a wasteful number, since it uses less digits than its factorization.

130211004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130211004 is about 11411.0036368411. The cubic root of 130211004 is about 506.8536315614.

Adding to 130211004 its reverse (400112031), we get a palindrome (530323035).

The spelling of 130211004 in words is "one hundred thirty million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 121 132 138 154 161 231 242 253 276 308 322 363 462 483 484 506 557 644 726 759 847 924 966 1012 1114 1452 1518 1671 1694 1771 1932 2228 2541 2783 3036 3342 3388 3542 3899 5082 5313 5566 6127 6684 7084 7798 8349 10164 10626 11132 11697 12254 12811 15596 16698 18381 19481 21252 23394 24508 25622 33396 36762 38433 38962 42889 46788 51244 58443 67397 73524 76866 77924 85778 89677 116886 128667 134794 140921 153732 171556 179354 202191 233772 257334 269031 269588 281842 358708 404382 422763 471779 514668 538062 563684 808764 845526 943558 986447 1076124 1415337 1550131 1691052 1887116 1972894 2830674 2959341 3100262 3945788 4650393 5661348 5918682 6200524 9300786 10850917 11837364 18601572 21701834 32552751 43403668 65105502 130211004