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1213131096 = 233259353809
BaseRepresentation
bin100100001001110…
…1110100101011000
310010112201110000100
41020103232211120
54441030143341
6320213335400
742030305232
oct11023564530
93115643010
101213131096
11572865391
1229a337560
13164441268
14b718b252
15717813b6
hex484ee958

1213131096 has 96 divisors (see below), whose sum is σ = 3354858000. Its totient is φ = 395907072.

The previous prime is 1213131077. The next prime is 1213131097. The reversal of 1213131096 is 6901313121.

It is a super-2 number, since 2×12131310962 = 2943374112164322432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213131097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499140 + ... + 1499948.

Almost surely, 21213131096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213131096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677429000).

1213131096 is an abundant number, since it is smaller than the sum of its proper divisors (2141726904).

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

1213131096 is a wasteful number, since it uses less digits than its factorization.

1213131096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1213131096 is about 34830.0315245335. The cubic root of 1213131096 is about 1066.5205918890.

The spelling of 1213131096 in words is "one billion, two hundred thirteen million, one hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 353 354 472 531 706 708 809 1059 1062 1412 1416 1618 2118 2124 2427 2824 3177 3236 4236 4248 4854 6354 6472 7281 8472 9708 12708 14562 19416 20827 25416 29124 41654 47731 58248 62481 83308 95462 124962 143193 166616 187443 190924 249924 285577 286386 374886 381848 429579 499848 571154 572772 749772 856731 859158 1142308 1145544 1499544 1713462 1718316 2284616 2570193 3426924 3436632 5140386 6853848 10280772 16849043 20561544 33698086 50547129 67396172 101094258 134792344 151641387 202188516 303282774 404377032 606565548 1213131096