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1013123434310 = 2513232843119183
BaseRepresentation
bin11101011111000101101…
…11001100011101000110
310120212001022110221222122
432233202313030131012
5113044334044344220
62053231131125542
7133124100050321
oct16574267143506
93525038427878
101013123434310
11360732848379
12144424ba38b2
13746ca0c76a0
143706d3437b8
151b54894b425
hexebe2dcc746

1013123434310 has 64 divisors (see below), whose sum is σ = 2050025822208. Its totient is φ = 357683297664.

The previous prime is 1013123434249. The next prime is 1013123434321. The reversal of 1013123434310 is 134343213101.

It is a super-2 number, since 2×10131234343102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1013123434310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8440979 + ... + 8560161.

It is an arithmetic number, because the mean of its divisors is an integer number (32031653472).

Almost surely, 21013123434310 is an apocalyptic number.

1013123434310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013123434310 is an abundant number, since it is smaller than the sum of its proper divisors (1036902387898).

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

1013123434310 is a wasteful number, since it uses less digits than its factorization.

1013123434310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122069.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1013123434310 its reverse (134343213101), we get a palindrome (1147466647411).

The spelling of 1013123434310 in words is "one trillion, thirteen billion, one hundred twenty-three million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 598 1495 2843 2990 5686 14215 28430 36959 65389 73918 119183 130778 184795 238366 326945 369590 595915 653890 850057 1191830 1549379 1700114 2741209 3098758 4250285 5482418 7746895 8500570 13706045 15493790 27412090 35635717 71271434 178178585 338837269 356357170 677674538 1694186345 3388372690 4404884497 7793257187 8809768994 15586514374 22024422485 38966285935 44048844970 77932571870 101312343431 202624686862 506561717155 1013123434310