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102220202112112 = 24713154712736793
BaseRepresentation
bin10111001111011111111110…
…110101011111010001110000
3111101221011012122021200200201
4113033133332311133101300
5101344233433220041422
61001223151303124544
730350110620543340
oct2717377665372160
9441834178250621
10102220202112112
112a630387242a87
12b56ab62a43754
13450642921a876
141b356ac83ad20
15bc3eae5b2727
hex5cf7fed5f470

102220202112112 has 80 divisors (see below), whose sum is σ = 228489525234432. Its totient is φ = 43394759815680.

The previous prime is 102220202112103. The next prime is 102220202112163. The reversal of 102220202112112 is 211211202022201.

It is a self number, because there is not a number n which added to its sum of digits gives 102220202112112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657188 + ... + 14393980.

Almost surely, 2102220202112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220202112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114244762617216).

102220202112112 is an abundant number, since it is smaller than the sum of its proper divisors (126269323122320).

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

102220202112112 is a wasteful number, since it uses less digits than its factorization.

102220202112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12737486 (or 12737480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102220202112112 its reverse (211211202022201), we get a palindrome (313431404134313).

The spelling of 102220202112112 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 547 917 1048 1094 1834 2096 2188 3668 3829 4376 7336 7658 8752 14672 15316 30632 61264 71657 143314 286628 501599 573256 1003198 1146512 2006396 4012792 8025584 12736793 25473586 50947172 89157551 101894344 178315102 203788688 356630204 713260408 1426520816 1668519883 3337039766 6674079532 6967025771 11679639181 13348159064 13934051542 23359278362 26696318128 27868103084 46718556724 48769180397 55736206168 93437113448 97538360794 111472412336 186874226896 195076721588 390153443176 780306886352 912680376001 1825360752002 3650721504004 6388762632007 7301443008008 12777525264014 14602886016016 25555050528028 51110101056056 102220202112112