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10355561430 = 2354315751131
BaseRepresentation
bin10011010010011110…
…10101001111010110
3222201200211000201020
421221033111033112
5132202010431210
64431323342010
7514422551124
oct115117251726
928650730636
1010355561430
114434498635
122010081906
13c9056cb56
1470347a914
154091e4770
hex2693d53d6

10355561430 has 64 divisors (see below), whose sum is σ = 25593815808. Its totient is φ = 2680030080.

The previous prime is 10355561417. The next prime is 10355561449. The reversal of 10355561430 is 3416555301.

It is a super-3 number, since 3×103555614303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10355561391 and 10355561400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176965 + ... + 228095.

It is an arithmetic number, because the mean of its divisors is an integer number (399903372).

Almost surely, 210355561430 is an apocalyptic number.

10355561430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355561430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796907904).

10355561430 is an abundant number, since it is smaller than the sum of its proper divisors (15238254378).

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

10355561430 is a wasteful number, since it uses less digits than its factorization.

10355561430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51341.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 10355561430 in words is "ten billion, three hundred fifty-five million, five hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 157 215 258 314 430 471 645 785 942 1290 1570 2355 4710 6751 13502 20253 33755 40506 51131 67510 101265 102262 153393 202530 255655 306786 511310 766965 1533930 2198633 4397266 6595899 8027567 10993165 13191798 16055134 21986330 24082701 32979495 40137835 48165402 65958990 80275670 120413505 240827010 345185381 690370762 1035556143 1725926905 2071112286 3451853810 5177780715 10355561430