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11342576100 = 22352229165103
BaseRepresentation
bin10101001000001000…
…11111100111100100
31002021111001120022010
422210010133213210
5141212144413400
65113302434220
7551036206662
oct124404374744
932244046263
1011342576100
1148a0652339
122246732970
1310b9bb16bb
147985a7c32
15465bad450
hex2a411f9e4

11342576100 has 72 divisors (see below), whose sum is σ = 32961362560. Its totient is φ = 3011460480.

The previous prime is 11342576093. The next prime is 11342576101. The reversal of 11342576100 is 167524311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11342576101) 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, 13852 + ... + 151251.

Almost surely, 211342576100 is an apocalyptic number.

11342576100 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 11342576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480681280).

11342576100 is an abundant number, since it is smaller than the sum of its proper divisors (21618786460).

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

11342576100 is a wasteful number, since it uses less digits than its factorization.

11342576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165349 (or 165342 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 11342576100 in words is "eleven billion, three hundred forty-two million, five hundred seventy-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 22900 34350 68700 165103 330206 495309 660412 825515 990618 1651030 1981236 2476545 3302060 4127575 4953090 8255150 9906180 12382725 16510300 24765450 37808587 49530900 75617174 113425761 151234348 189042935 226851522 378085870 453703044 567128805 756171740 945214675 1134257610 1890429350 2268515220 2835644025 3780858700 5671288050 11342576100