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10304104100 = 22523715118443
BaseRepresentation
bin10011001100010110…
…00010011010100100
3222121002222201112012
421212023002122210
5132100322312400
64422244413352
7513226303553
oct114613023244
928532881465
1010304104100
114408441a14
121bb69a7258
13c829c4324
146da6c3d9a
1540492cd35
hex2662c26a4

10304104100 has 72 divisors (see below), whose sum is σ = 23117562048. Its totient is φ = 3983472000.

The previous prime is 10304104093. The next prime is 10304104123. The reversal of 10304104100 is 140140301.

It is a happy number.

It is a super-3 number, since 3×103041041003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549479 + ... + 567921.

Almost surely, 210304104100 is an apocalyptic number.

10304104100 is a gapful number since it is divisible by the number (10) 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 10304104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558781024).

10304104100 is an abundant number, since it is smaller than the sum of its proper divisors (12813457948).

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

10304104100 is a wasteful number, since it uses less digits than its factorization.

10304104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18645 (or 18638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10304104100 its reverse (140140301), we get a palindrome (10444244401).

The spelling of 10304104100 in words is "ten billion, three hundred four million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 151 185 302 370 604 740 755 925 1510 1850 3020 3700 3775 5587 7550 11174 15100 18443 22348 27935 36886 55870 73772 92215 111740 139675 184430 279350 368860 461075 558700 682391 922150 1364782 1844300 2729564 2784893 3411955 5569786 6823910 11139572 13647820 13924465 17059775 27848930 34119550 55697860 68239100 69622325 103041041 139244650 206082082 278489300 412164164 515205205 1030410410 2060820820 2576026025 5152052050 10304104100