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1045061223234 = 237217318765609
BaseRepresentation
bin11110011010100101000…
…00001100001101000010
310200220111010001202000220
433031102200030031002
5114110241133120414
62120032224523510
7135334406554500
oct17152240141502
93626433052026
101045061223234
113732318a7956
1214a658a80596
1377719a94642
143881cc91670
151c2b7749ca9
hexf35280c342

1045061223234 has 96 divisors (see below), whose sum is σ = 2575235540160. Its totient is φ = 280932406272.

The previous prime is 1045061223229. The next prime is 1045061223257. The reversal of 1045061223234 is 4323221605401.

It is a junction number, because it is equal to n+sod(n) for n = 1045061223195 and 1045061223204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15895822 + ... + 15961430.

It is an arithmetic number, because the mean of its divisors is an integer number (26825370210).

Almost surely, 21045061223234 is an apocalyptic number.

1045061223234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045061223234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287617770080).

1045061223234 is an abundant number, since it is smaller than the sum of its proper divisors (1530174316926).

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

1045061223234 is a wasteful number, since it uses less digits than its factorization.

1045061223234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68832 (or 68825 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 1045061223234 its reverse (4323221605401), we get a palindrome (5368282828635).

The spelling of 1045061223234 in words is "one trillion, forty-five billion, sixty-one million, two hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 3187 4998 6374 9561 19122 22309 44618 54179 65609 66927 108358 131218 133854 156163 162537 196827 312326 325074 379253 393654 459263 468489 758506 918526 936978 1115353 1137759 1377789 2230706 2275518 2654771 2755578 3214841 3346059 5309542 6429682 6692118 7807471 7964313 9644523 15614942 15928626 19289046 23422413 46844826 54652297 109304594 163956891 209095883 327913782 418191766 627287649 1254575298 1463671181 2927342362 3554630011 4391013543 7109260022 8782027086 10245698267 10663890033 20491396534 21327780066 24882410077 30737094801 49764820154 61474189602 74647230231 149294460462 174176870539 348353741078 522530611617 1045061223234