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11142521400 = 2335219019769
BaseRepresentation
bin10100110000010010…
…10110001000111000
31001202112121201211210
422120021112020320
5140304441141100
65041354523120
7543056604063
oct123011261070
931675551753
1011142521400
1147a873227a
1221ab7364a0
13108760853a
14779bad8da
15453342c50
hex298256238

11142521400 has 96 divisors (see below), whose sum is σ = 34563524400. Its totient is φ = 2969472000.

The previous prime is 11142521387. The next prime is 11142521407. The reversal of 11142521400 is 412524111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142521407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135716 + ... + 1145484.

Almost surely, 211142521400 is an apocalyptic number.

11142521400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142521400 is an abundant number, since it is smaller than the sum of its proper divisors (23421003000).

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

11142521400 is a wasteful number, since it uses less digits than its factorization.

11142521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 11142521400 in words is "eleven billion, one hundred forty-two million, five hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1901 3802 5703 7604 9505 9769 11406 15208 19010 19538 22812 28515 29307 38020 39076 45624 47525 48845 57030 58614 76040 78152 95050 97690 114060 117228 142575 146535 190100 195380 228120 234456 244225 285150 293070 380200 390760 488450 570300 586140 732675 976900 1140600 1172280 1465350 1953800 2930700 5861400 18570869 37141738 55712607 74283476 92854345 111425214 148566952 185708690 222850428 278563035 371417380 445700856 464271725 557126070 742834760 928543450 1114252140 1392815175 1857086900 2228504280 2785630350 3714173800 5571260700 11142521400