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102222012102112 = 2572139469011581
BaseRepresentation
bin10111001111100001101010…
…101110000011010111100000
3111101221022212210002201012101
4113033201222232003113200
5101344301140044231422
61001224051041340144
730350203516316200
oct2717415256032740
9441838783081171
10102222012102112
112a631125a00291
12b56b389037654
1345066571c7a76
141b35800d94400
15bc4068440c27
hex5cf86ab835e0

102222012102112 has 72 divisors (see below), whose sum is σ = 235790882734680. Its totient is φ = 43494257882880.

The previous prime is 102222012102061. The next prime is 102222012102121. The reversal of 102222012102112 is 211201210222201.

It is a super-2 number, since 2×1022220121021122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102222012102112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234287839 + ... + 234723742.

It is an arithmetic number, because the mean of its divisors is an integer number (3274873371315).

Almost surely, 2102222012102112 is an apocalyptic number.

It is an amenable number.

102222012102112 is an abundant number, since it is smaller than the sum of its proper divisors (133568870632568).

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

102222012102112 is a wasteful number, since it uses less digits than its factorization.

102222012102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469011744 (or 469011729 counting only the distinct ones).

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

Adding to 102222012102112 its reverse (211201210222201), we get a palindrome (313423222324313).

The spelling of 102222012102112 in words is "one hundred two trillion, two hundred twenty-two billion, twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 139 196 224 278 392 556 784 973 1112 1568 1946 2224 3892 4448 6811 7784 13622 15568 27244 31136 54488 108976 217952 469011581 938023162 1876046324 3283081067 3752092648 6566162134 7504185296 13132324268 15008370592 22981567469 26264648536 45963134938 52529297072 65192609759 91926269876 105058594144 130385219518 183852539752 260770439036 367705079504 456348268313 521540878072 735410159008 912696536626 1043081756144 1825393073252 2086163512288 3194437878191 3650786146504 6388875756382 7301572293008 12777751512764 14603144586016 25555503025528 51111006051056 102222012102112