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10342031620 = 2252935350513
BaseRepresentation
bin10011010000110111…
…01110000100000100
3222200202100122022011
421220123232010010
5132140030002440
64430121344004
7514166550454
oct115033560404
928622318264
1010342031620
114427897478
122007638004
13c8a81374b
14701757d64
15407e209ea
hex2686ee104

10342031620 has 48 divisors (see below), whose sum is σ = 22531264560. Its totient is φ = 3982770176.

The previous prime is 10342031587. The next prime is 10342031629. The reversal of 10342031620 is 2613024301.

It can be written as a sum of positive squares in 8 ways, for example, as 268697664 + 10073333956 = 16392^2 + 100366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10342031591 and 10342031600.

It is not an unprimeable number, because it can be changed into a prime (10342031629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179484 + ... + 229996.

It is an arithmetic number, because the mean of its divisors is an integer number (469401345).

Almost surely, 210342031620 is an apocalyptic number.

10342031620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342031620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265632280).

10342031620 is an abundant number, since it is smaller than the sum of its proper divisors (12189232940).

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

10342031620 is a wasteful number, since it uses less digits than its factorization.

10342031620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50904 (or 50902 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10342031620 its reverse (2613024301), we get a palindrome (12955055921).

The spelling of 10342031620 in words is "ten billion, three hundred forty-two million, thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 353 580 706 1412 1765 3530 7060 10237 20474 40948 50513 51185 101026 102370 202052 204740 252565 505130 1010260 1464877 2929754 5859508 7324385 14648770 17831089 29297540 35662178 71324356 89155445 178310890 356621780 517101581 1034203162 2068406324 2585507905 5171015810 10342031620