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12780900210 = 2351367748407
BaseRepresentation
bin10111110011100110…
…10000111101110010
31012222201112000001110
423321303100331302
5202133402301320
65512123014150
7631502600511
oct137163207562
935881460043
1012780900210
115469537551
12258836a356
131288b8ac60
14893614678
154ec0c35e0
hex2f9cd0f72

12780900210 has 64 divisors (see below), whose sum is σ = 33083188992. Its totient is φ = 3141355776.

The previous prime is 12780900161. The next prime is 12780900227. The reversal of 12780900210 is 1200908721.

It is a super-3 number, since 3×127809002103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 239827 + ... + 288233.

It is an arithmetic number, because the mean of its divisors is an integer number (516924828).

Almost surely, 212780900210 is an apocalyptic number.

12780900210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12780900210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541594496).

12780900210 is an abundant number, since it is smaller than the sum of its proper divisors (20302288782).

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

12780900210 is a wasteful number, since it uses less digits than its factorization.

12780900210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49107.

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 12780900210 in words is "twelve billion, seven hundred eighty million, nine hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 677 1354 2031 3385 4062 6770 8801 10155 17602 20310 26403 44005 48407 52806 88010 96814 132015 145221 242035 264030 290442 484070 629291 726105 1258582 1452210 1887873 3146455 3775746 6292910 9439365 18878730 32771539 65543078 98314617 163857695 196629234 327715390 426030007 491573085 852060014 983146170 1278090021 2130150035 2556180042 4260300070 6390450105 12780900210