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11936230900 = 22521167161957
BaseRepresentation
bin10110001110111010…
…00110110111110100
31010210212010100120221
423013131012313310
5143421133342100
65252230504124
7601535200666
oct130735066764
933725110527
1011936230900
115075766a40
122391505044
131182b98129
1481337c536
1549cd7601a
hex2c7746df4

11936230900 has 72 divisors (see below), whose sum is σ = 28678226976. Its totient is φ = 4275638400.

The previous prime is 11936230879. The next prime is 11936230907. The reversal of 11936230900 is 903263911.

It is a super-2 number, since 2×119362309002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11936230907) 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, 7279 + ... + 154678.

It is an arithmetic number, because the mean of its divisors is an integer number (398308708).

Almost surely, 211936230900 is an apocalyptic number.

11936230900 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 11936230900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339113488).

11936230900 is an abundant number, since it is smaller than the sum of its proper divisors (16741996076).

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

11936230900 is a wasteful number, since it uses less digits than its factorization.

11936230900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162049 (or 162042 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 11936230900 in words is "eleven billion, nine hundred thirty-six million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 161957 323914 647828 809785 1619570 1781527 3239140 3563054 4048925 7126108 8097850 8907635 10851119 16195700 17815270 21702238 35630540 43404476 44538175 54255595 89076350 108511190 119362309 178152700 217022380 238724618 271277975 477449236 542555950 596811545 1085111900 1193623090 2387246180 2984057725 5968115450 11936230900