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10130003004 = 223114112291523
BaseRepresentation
bin10010110111100101…
…11001010000111100
3222010222101110201110
421123302321100330
5131221240044004
64353105042020
7506013414312
oct113362712074
928128343643
1010130003004
114329139210
121b68626310
13c55907424
146c15240b2
153e44dc589
hex25bcb943c

10130003004 has 96 divisors (see below), whose sum is σ = 26453226240. Its totient is φ = 2990425600.

The previous prime is 10130002957. The next prime is 10130003011. The reversal of 10130003004 is 40030003101.

It is a super-2 number, since 2×101300030042 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6650587 + ... + 6652109.

It is an arithmetic number, because the mean of its divisors is an integer number (275554440).

Almost surely, 210130003004 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 10130003004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226613120).

10130003004 is an abundant number, since it is smaller than the sum of its proper divisors (16323223236).

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

10130003004 is a wasteful number, since it uses less digits than its factorization.

10130003004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10130003004 its reverse (40030003101), we get a palindrome (50160006105).

The spelling of 10130003004 in words is "ten billion, one hundred thirty million, three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1229 1353 1523 1804 2458 2706 3046 3687 4569 4916 5412 6092 7374 9138 13519 14748 16753 18276 27038 33506 40557 50259 50389 54076 62443 67012 81114 100518 100778 124886 151167 162228 187329 201036 201556 249772 302334 374658 554279 604668 686873 749316 1108558 1373746 1662837 1871767 2060619 2217116 2747492 3325674 3743534 4121238 5615301 6651348 7487068 8242476 11230602 20589437 22461204 41178874 61768311 76742447 82357748 123536622 153484894 230227341 247073244 306969788 460454682 844166917 920909364 1688333834 2532500751 3376667668 5065001502 10130003004