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102220002313110 = 232511792731302493
BaseRepresentation
bin10111001111011111110010…
…111011010100001110010110
3111101221010200201022211222200
4113033133302323110032112
5101344233031043004420
61001223115404505330
730350102643354063
oct2717376273241626
9441833621284880
10102220002313110
112a630294488040
12b56ab07b4b246
1345063c6a03bc6
141b356900abc6a
15bc3e9bc97b90
hex5cf7f2ed4396

102220002313110 has 96 divisors (see below), whose sum is σ = 289936977471648. Its totient is φ = 24780274997760.

The previous prime is 102220002313109. The next prime is 102220002313199. The reversal of 102220002313110 is 11313200022201.

102220002313110 is a `hidden beast` number, since 102 + 2 + 20 + 0 + 0 + 231 + 311 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77829024 + ... + 79131516.

It is an arithmetic number, because the mean of its divisors is an integer number (3020176848663).

Almost surely, 2102220002313110 is an apocalyptic number.

102220002313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102220002313110 is an abundant number, since it is smaller than the sum of its proper divisors (187716975158538).

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

102220002313110 is a wasteful number, since it uses less digits than its factorization.

102220002313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381790 (or 1381787 counting only the distinct ones).

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

Adding to 102220002313110 its reverse (11313200022201), we get a palindrome (113533202335311).

The spelling of 102220002313110 in words is "one hundred two trillion, two hundred twenty billion, two million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 79273 158546 237819 396365 475638 713457 792730 872003 1189095 1302493 1426914 1744006 2378190 2604986 2616009 3567285 3907479 4360015 5232018 6512465 7134570 7814958 7848027 8720030 11722437 13024930 13080045 14327423 15696054 19537395 23444874 26160090 28654846 39074790 39240135 42982269 58612185 71637115 78480270 85964538 117224370 128946807 143274230 214911345 257893614 429822690 644734035 1289468070 103252527589 206505055178 309757582767 516262637945 619515165534 929272748301 1032525275890 1135777803479 1548787913835 1858545496602 2271555606958 3097575827670 3407333410437 4646363741505 5678889017395 6814666820874 9292727483010 10222000231311 11357778034790 17036667052185 20444000462622 34073334104370 51110001156555 102220002313110