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11056353012 = 22331392812621
BaseRepresentation
bin10100100110000001…
…01000111011110100
31001112112110221001000
422103000220323310
5140120411244022
65025040003300
7540662310225
oct122300507364
931475427030
1011056353012
114764028731
122186900530
1310727c8623
1476c57d24c
1544a9c16ac
hex293028ef4

11056353012 has 96 divisors (see below), whose sum is σ = 28984636800. Its totient is φ = 3644524800.

The previous prime is 11056353001. The next prime is 11056353013. The reversal of 11056353012 is 21035365011.

11056353012 is a `hidden beast` number, since 1 + 10 + 5 + 635 + 3 + 0 + 12 = 666.

It is a super-2 number, since 2×110563530122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056353013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4217062 + ... + 4219682.

It is an arithmetic number, because the mean of its divisors is an integer number (301923300).

Almost surely, 211056353012 is an apocalyptic number.

11056353012 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 11056353012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492318400).

11056353012 is an abundant number, since it is smaller than the sum of its proper divisors (17928283788).

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

11056353012 is a wasteful number, since it uses less digits than its factorization.

11056353012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 11056353012 in words is "eleven billion, fifty-six million, three hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 281 417 556 562 834 843 1124 1251 1668 1686 2502 2529 2621 3372 3753 5004 5058 5242 7506 7587 7863 10116 10484 15012 15174 15726 23589 30348 31452 39059 47178 70767 78118 94356 117177 141534 156236 234354 283068 351531 364319 468708 703062 728638 736501 1054593 1092957 1406124 1457276 1473002 2109186 2185914 2209503 2946004 3278871 4218372 4371828 4419006 6557742 6628509 8838012 9836613 13115484 13257018 19673226 19885527 26514036 39346452 39771054 79542108 102373639 204747278 307120917 409494556 614241834 921362751 1228483668 1842725502 2764088253 3685451004 5528176506 11056353012