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10002131304 = 2331154769263
BaseRepresentation
bin10010101000010110…
…00110100101101000
3221211001202220201120
421110023012211220
5130441021200204
64332300215240
7502601466444
oct112413064550
927731686646
1010002131304
114272a40320
121b3183a520
13c352855b9
146ac559824
153d817e6d9
hex2542c6968

10002131304 has 64 divisors (see below), whose sum is σ = 27328803840. Its totient is φ = 3025364160.

The previous prime is 10002131287. The next prime is 10002131311. The reversal of 10002131304 is 40313120001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109777 + ... + 179039.

It is an arithmetic number, because the mean of its divisors is an integer number (427012560).

Almost surely, 210002131304 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 10002131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664401920).

10002131304 is an abundant number, since it is smaller than the sum of its proper divisors (17326672536).

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

10002131304 is a wasteful number, since it uses less digits than its factorization.

10002131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69830 (or 69826 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002131304 its reverse (40313120001), we get a palindrome (50315251305).

The spelling of 10002131304 in words is "ten billion, two million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 547 1094 1641 2188 3282 4376 6017 6564 12034 13128 18051 24068 36102 48136 69263 72204 138526 144408 207789 277052 415578 554104 761893 831156 1523786 1662312 2285679 3047572 4571358 6095144 9142716 18285432 37886861 75773722 113660583 151547444 227321166 303094888 416755471 454642332 833510942 909284664 1250266413 1667021884 2500532826 3334043768 5001065652 10002131304