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113004890244 = 223217923132
BaseRepresentation
bin110100100111110011…
…1011100100010000100
3101210200111122012212100
41221033213130202010
53322413222441434
6123525210552100
711110236501261
oct1511747344204
9353614565770
10113004890244
1143a1a350684
1219a99138630
13a86bc0427c
145680300268
152e15d05699
hex1a4f9dc884

113004890244 has 81 divisors (see below), whose sum is σ = 288176665413. Its totient is φ = 37338185664.

The previous prime is 113004890239. The next prime is 113004890267. The reversal of 113004890244 is 442098400311.

It is a happy number.

The square root of 113004890244 is 336162.

It is a perfect power (a square), and thus also a powerful number.

113004890244 is a `hidden beast` number, since 1 + 130 + 0 + 489 + 0 + 2 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 720922500 + 112283967744 = 26850^2 + 335088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113004890199 and 113004890208.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361037832 + ... + 361038144.

Almost surely, 2113004890244 is an apocalyptic number.

113004890244 is the 336162-nd square number.

It is an amenable number.

113004890244 is an abundant number, since it is smaller than the sum of its proper divisors (175171775169).

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

113004890244 is an equidigital number, since it uses as much as digits as its factorization.

113004890244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 113004890244 by its sum of digits (36), we get a square (4068176048784 = 20169722).

113004890244 divided by its sum of digits (36) gives a square (3139024729 = 560272).

The spelling of 113004890244 in words is "one hundred thirteen billion, four million, eight hundred ninety thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 179 313 358 537 626 716 939 1074 1252 1611 1878 2148 2817 3222 3756 5634 6444 11268 32041 56027 64082 96123 97969 112054 128164 168081 192246 195938 224108 288369 293907 336162 384492 391876 504243 576738 587814 672324 881721 1008486 1153476 1175628 1763442 2016972 3526884 10028833 17536451 20057666 30086499 35072902 40115332 52609353 60172998 70145804 90259497 105218706 120345996 157828059 180518994 210437412 315656118 361037988 631312236 3139024729 6278049458 9417074187 12556098916 18834148374 28251222561 37668296748 56502445122 113004890244