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10113220244034 = 234195851561553
BaseRepresentation
bin1001001100101010101011…
…1001100111001001000010
31022210210222201002120120000
42103022222321213021002
52311143333340302114
633301541011500430
72062441011501315
oct223125271471102
938723881076500
1010113220244034
113249aa11a4136
121174014bb7716
1358489886146b
1426d6a7c8a97c
15128104ad6e09
hex932aae67242

10113220244034 has 80 divisors (see below), whose sum is σ = 23857913698080. Its totient is φ = 3193096982400.

The previous prime is 10113220244021. The next prime is 10113220244077. The reversal of 10113220244034 is 43044202231101.

10113220244034 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 2 + 202 + 440 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10113220243989 and 10113220244007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17728602 + ... + 18290154.

It is an arithmetic number, because the mean of its divisors is an integer number (298223921226).

Almost surely, 210113220244034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113220244034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928956849040).

10113220244034 is an abundant number, since it is smaller than the sum of its proper divisors (13744693454046).

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

10113220244034 is a wasteful number, since it uses less digits than its factorization.

10113220244034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567437 (or 567428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10113220244034 its reverse (43044202231101), we get a palindrome (53157422475135).

The spelling of 10113220244034 in words is "ten trillion, one hundred thirteen billion, two hundred twenty million, two hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 5851 11702 17553 35106 52659 105318 111169 157977 222338 315954 333507 473931 561553 667014 947862 1000521 1123106 1684659 2001042 3001563 3369318 5053977 6003126 9004689 10107954 10669507 15161931 18009378 21339014 30323862 32008521 45485793 64017042 90971586 96025563 192051126 288076689 576153378 864230067 1728460134 3285646603 6571293206 9856939809 19713879618 29570819427 59141638854 62427285457 88712458281 124854570914 177424916562 187281856371 266137374843 374563712742 532274749686 561845569113 1123691138226 1685536707339 3371073414678 5056610122017 10113220244034