Search a number
-
+
1312111332300 = 223527161601471
BaseRepresentation
bin10011000101111111111…
…011100000101111001100
311122102210021221212210010
4103011333323200233030
5132444201000113200
62442435311313220
7163540225206156
oct23057773405714
94572707855703
101312111332300
1146651070542a
1219236751b810
139696833c862
1447713ca7ad6
15241e7338150
hex1317fee0bcc

1312111332300 has 72 divisors (see below), whose sum is σ = 3849845594112. Its totient is φ = 344968232000.

The previous prime is 1312111332281. The next prime is 1312111332313. The reversal of 1312111332300 is 32331112131.

It is a happy number.

It is a super-2 number, since 2×13121113323002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30779436 + ... + 30822035.

It is an arithmetic number, because the mean of its divisors is an integer number (53470077696).

Almost surely, 21312111332300 is an apocalyptic number.

1312111332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312111332300 is an abundant number, since it is smaller than the sum of its proper divisors (2537734261812).

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

1312111332300 is a wasteful number, since it uses less digits than its factorization.

1312111332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61601559 (or 61601552 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1312111332300 its reverse (32331112131), we get a palindrome (1344442444431).

The spelling of 1312111332300 in words is "one trillion, three hundred twelve billion, one hundred eleven million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 61601471 123202942 184804413 246405884 308007355 369608826 616014710 739217652 924022065 1232029420 1540036775 1848044130 3080073550 3696088260 4373704441 4620110325 6160147100 8747408882 9240220650 13121113323 17494817764 18480441300 21868522205 26242226646 43737044410 52484453292 65605566615 87474088820 109342611025 131211133230 218685222050 262422266460 328027833075 437370444100 656055666150 1312111332300