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10204120000 = 2654713593
BaseRepresentation
bin10011000000011011…
…01000001111000000
3222100010212000010101
421200031220033000
5131344223320000
64404313412144
7510603405664
oct114015501700
928303760111
1010204120000
114366a61428
121b8940a054
13c68087b39
146cb2d88a4
153eac7ce6a
hex2603683c0

10204120000 has 140 divisors (see below), whose sum is σ = 25666421616. Its totient is φ = 4023040000.

The previous prime is 10204119977. The next prime is 10204120021. The reversal of 10204120000 is 2140201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2838204 + ... + 2841796.

Almost surely, 210204120000 is an apocalyptic number.

10204120000 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 10204120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833210808).

10204120000 is an abundant number, since it is smaller than the sum of its proper divisors (15462301616).

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

10204120000 is an frugal number, since it uses more digits than its factorization.

10204120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10204120000 its reverse (2140201), we get a palindrome (10206260201).

The spelling of 10204120000 in words is "ten billion, two hundred four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 3593 4000 4544 5000 5680 7100 7186 8000 8875 10000 11360 14200 14372 17750 17965 20000 22720 28400 28744 35500 35930 40000 44375 56800 57488 71000 71860 88750 89825 113600 114976 142000 143720 177500 179650 229952 255103 284000 287440 355000 359300 449125 510206 568000 574880 710000 718600 898250 1020412 1149760 1275515 1420000 1437200 1796500 2040824 2245625 2551030 2840000 2874400 3593000 4081648 4491250 5102060 5748800 6377575 7186000 8163296 8982500 10204120 12755150 14372000 16326592 17965000 20408240 25510300 28744000 31887875 35930000 40816480 51020600 63775750 71860000 81632960 102041200 127551500 143720000 159439375 204082400 255103000 318878750 408164800 510206000 637757500 1020412000 1275515000 2040824000 2551030000 5102060000 10204120000