Search a number
-
+
10204103062100 = 22521917593053201
BaseRepresentation
bin1001010001111101001111…
…1100000011001001010100
31100010111120111011002101202
42110133103330003021110
52314141000340441400
633411411130012032
72102136120632423
oct224372374031124
940114514132352
1010204103062100
113284599181532
121189759577018
1359032054259c
14273c4a1112ba
1512a6736e94d5
hex947d3f03254

10204103062100 has 72 divisors (see below), whose sum is σ = 23321578156800. Its totient is φ = 3864618432000.

The previous prime is 10204103062091. The next prime is 10204103062129. The reversal of 10204103062100 is 126030140201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1815500 + ... + 4868700.

Almost surely, 210204103062100 is an apocalyptic number.

10204103062100 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 10204103062100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660789078400).

10204103062100 is an abundant number, since it is smaller than the sum of its proper divisors (13117475094700).

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

10204103062100 is a wasteful number, since it uses less digits than its factorization.

10204103062100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054993 (or 3054986 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 10204103062100 in words is "ten trillion, two hundred four billion, one hundred three million, sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1759 1900 3518 7036 8795 17590 33421 35180 43975 66842 87950 133684 167105 175900 334210 668420 835525 1671050 3053201 3342100 6106402 12212804 15266005 30532010 58010819 61064020 76330025 116021638 152660050 232043276 290054095 305320100 580108190 1160216380 1450270475 2900540950 5370580559 5801081900 10741161118 21482322236 26852902795 53705805590 102041030621 107411611180 134264513975 204082061242 268529027950 408164122484 510205153105 537058055900 1020410306210 2040820612420 2551025765525 5102051531050 10204103062100