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103213220112 = 2433883270577
BaseRepresentation
bin110000000011111111…
…1001100000100010000
3100212102002212211121000
41200013333030010100
53142340041020422
6115225425302000
710312501616112
oct1400777140420
9325362784530
10103213220112
113a855198a12
1218005a94900
13996b429712
144dd1acb3b2
152a41399cac
hex1807fcc110

103213220112 has 80 divisors (see below), whose sum is σ = 296596780480. Its totient is φ = 34365316608.

The previous prime is 103213220111. The next prime is 103213220119. The reversal of 103213220112 is 211022312301.

103213220112 is a `hidden beast` number, since 10 + 321 + 3 + 220 + 112 = 666.

103213220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032132201122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103213220111) 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, 246168 + ... + 516744.

It is an arithmetic number, because the mean of its divisors is an integer number (3707459756).

Almost surely, 2103213220112 is an apocalyptic number.

103213220112 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 103213220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298390240).

103213220112 is an abundant number, since it is smaller than the sum of its proper divisors (193383560368).

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

103213220112 is a wasteful number, since it uses less digits than its factorization.

103213220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271477 (or 271465 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103213220112 its reverse (211022312301), we get a palindrome (314235532413).

The spelling of 103213220112 in words is "one hundred three billion, two hundred thirteen million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 883 1766 2649 3532 5298 7064 7947 10596 14128 15894 21192 23841 31788 42384 47682 63576 95364 127152 190728 270577 381456 541154 811731 1082308 1623462 2164616 2435193 3246924 4329232 4870386 6493848 7305579 9740772 12987696 14611158 19481544 29222316 38963088 58444632 116889264 238919491 477838982 716758473 955677964 1433516946 1911355928 2150275419 2867033892 3822711856 4300550838 5734067784 6450826257 8601101676 11468135568 12901652514 17202203352 25803305028 34404406704 51606610056 103213220112