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1003568152340 = 2251310138216609
BaseRepresentation
bin11101001101010010101…
…00101011111100010100
310112221101101112100022102
432212221110223330110
5112420301421333330
62045011032221232
7132335232355355
oct16465124537424
93487341470272
101003568152340
1135767a071626
121425b8b3a818
13738365a79a0
14368042a5d2c
151b189b36945
hexe9a952bf14

1003568152340 has 48 divisors (see below), whose sum is σ = 2292079401360. Its totient is φ = 366879436800.

The previous prime is 1003568152337. The next prime is 1003568152357. The reversal of 1003568152340 is 432518653001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 80558333584 + 923009818756 = 283828^2 + 960734^2 .

It is a super-2 number, since 2×10035681523402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003568152294 and 1003568152303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19082045 + ... + 19134564.

It is an arithmetic number, because the mean of its divisors is an integer number (47751654195).

Almost surely, 21003568152340 is an apocalyptic number.

1003568152340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003568152340 is an abundant number, since it is smaller than the sum of its proper divisors (1288511249020).

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

1003568152340 is a wasteful number, since it uses less digits than its factorization.

1003568152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38216732 (or 38216730 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 1003568152340 in words is "one trillion, three billion, five hundred sixty-eight million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 38216609 76433218 152866436 191083045 382166090 496815917 764332180 993631834 1987263668 2484079585 3859877509 4968159170 7719755018 9936318340 15439510036 19299387545 38598775090 50178407617 77197550180 100356815234 200713630468 250892038085 501784076170 1003568152340