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11100021312 = 263193782237
BaseRepresentation
bin10100101011001110…
…01110001001000000
31001122120122111200110
422111213032021000
5140213101140222
65033235551320
7542032424112
oct122547161100
931576574613
1011100021312
114786744336
12219945b540
13107b877a63
147742a93b2
1544e74a30c
hex2959ce240

11100021312 has 112 divisors (see below), whose sum is σ = 31750447040. Its totient is φ = 3410491392.

The previous prime is 11100021287. The next prime is 11100021313. The reversal of 11100021312 is 21312000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11100021313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93858 + ... + 176094.

Almost surely, 211100021312 is an apocalyptic number.

11100021312 is a gapful number since it is divisible by the number (12) 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 11100021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875223520).

11100021312 is an abundant number, since it is smaller than the sum of its proper divisors (20650425728).

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

11100021312 is a wasteful number, since it uses less digits than its factorization.

11100021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82308 (or 82298 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11100021312 its reverse (21312000111), we get a palindrome (32412021423).

The spelling of 11100021312 in words is "eleven billion, one hundred million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1776 1824 2109 2368 2812 3552 3648 4218 5624 7104 8436 11248 16872 22496 33744 44992 67488 82237 134976 164474 246711 328948 493422 657896 986844 1315792 1562503 1973688 2631584 3042769 3125006 3947376 4687509 5263168 6085538 6250012 7894752 9128307 9375018 12171076 12500024 15789504 18256614 18750036 24342152 25000048 36513228 37500072 48684304 50000096 57812611 73026456 75000144 97368608 100000192 115625222 146052912 150000288 173437833 194737216 231250444 292105824 300000576 346875666 462500888 584211648 693751332 925001776 1387502664 1850003552 2775005328 3700007104 5550010656 11100021312