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101311428804 = 223171634217237
BaseRepresentation
bin101111001011010100…
…0011011100011000100
3100200111120022211100220
41132112220123203010
53124441211210204
6114313011304340
710214406636045
oct1362650334304
9320446284326
10101311428804
1139a69729a63
1217774bab0b0
139727419711
144c912b88cc
15297e4361d9
hex1796a1b8c4

101311428804 has 96 divisors (see below), whose sum is σ = 252467462016. Its totient is φ = 31509596160.

The previous prime is 101311428769. The next prime is 101311428833. The reversal of 101311428804 is 408824113101.

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, 13995474 + ... + 14002710.

It is an arithmetic number, because the mean of its divisors is an integer number (2629869396).

Almost surely, 2101311428804 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 101311428804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126233731008).

101311428804 is an abundant number, since it is smaller than the sum of its proper divisors (151156033212).

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

101311428804 is a wasteful number, since it uses less digits than its factorization.

101311428804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 101311428804 in words is "one hundred one billion, three hundred eleven million, four hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 163 204 326 421 489 652 842 978 1263 1684 1956 2526 2771 5052 5542 7157 7237 8313 11084 14314 14474 16626 21471 21711 28628 28948 33252 42942 43422 68623 85884 86844 123029 137246 205869 246058 274492 369087 411738 492116 738174 823476 1166591 1179631 1476348 2333182 2359262 3046777 3499773 3538893 4666364 4718524 6093554 6999546 7077786 9140331 12187108 13999092 14155572 18280662 20053727 36561324 40107454 51795209 60161181 80214908 103590418 120322362 155385627 207180836 240644724 310771254 496624651 621542508 993249302 1489873953 1986498604 2979747906 5959495812 8442619067 16885238134 25327857201 33770476268 50655714402 101311428804