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10011200210112 = 263839198731277
BaseRepresentation
bin1001000110101110101000…
…0010000100010011000000
31022110001122202101212201010
42101223222002010103000
52303010414223210422
633143025404240520
72052166605511143
oct221535202042300
938401582355633
1010011200210112
11320a7a9588712
1211582a2840140
1357808a6b199a
1426878a83805a
1512563337db0c
hex91aea0844c0

10011200210112 has 112 divisors (see below), whose sum is σ = 26533732942080. Its totient is φ = 3331305341952.

The previous prime is 10011200210069. The next prime is 10011200210113. The reversal of 10011200210112 is 21101200211001.

It is a super-3 number, since 3×100112002101123 (a number of 40 digits) contains 333 as substring.

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 (10011200210113) 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, 320066218 + ... + 320097494.

It is an arithmetic number, because the mean of its divisors is an integer number (236908329840).

Almost surely, 210011200210112 is an apocalyptic number.

10011200210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011200210112 is an abundant number, since it is smaller than the sum of its proper divisors (16522532731968).

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

10011200210112 is a wasteful number, since it uses less digits than its factorization.

10011200210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34118 (or 34108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011200210112 its reverse (21101200211001), we get a palindrome (31112400421113).

The spelling of 10011200210112 in words is "ten trillion, eleven billion, two hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 839 1678 1987 2517 3356 3974 5034 5961 6712 7948 10068 11922 13424 15896 20136 23844 26848 31277 31792 40272 47688 53696 62554 63584 80544 93831 95376 125108 127168 161088 187662 190752 250216 375324 381504 500432 750648 1000864 1501296 1667093 2001728 3002592 3334186 5001279 6005184 6668372 10002558 13336744 20005116 26241403 26673488 40010232 52482806 53346976 62147399 78724209 80020464 104965612 106693952 124294798 157448418 160040928 186442197 209931224 248589596 314896836 320081856 372884394 419862448 497179192 629793672 745768788 839724896 994358384 1259587344 1491537576 1679449792 1988716768 2519174688 2983075152 3977433536 5038349376 5966150304 11932300608 52141667761 104283335522 156425003283 208566671044 312850006566 417133342088 625700013132 834266684176 1251400026264 1668533368352 2502800052528 3337066736704 5005600105056 10011200210112