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102221011121224 = 23292334793947851
BaseRepresentation
bin10111001111100000101111…
…000011100111010001001000
3111101221020022000120121120011
4113033200233003213101020
5101344242112321334344
61001223403443041304
730350136643161442
oct2717405703472110
9441836260517504
10102221011121224
112a630761977556
12b56b149970234
134506527a06298
141b3574806d492
15bc400a618d34
hex5cf82f0e7448

102221011121224 has 64 divisors (see below), whose sum is σ = 199540231488000. Its totient is φ = 49033686643200.

The previous prime is 102221011121219. The next prime is 102221011121227. The reversal of 102221011121224 is 422121110122201.

It is a super-2 number, since 2×1022210111212242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221011121195 and 102221011121204.

It is not an unprimeable number, because it can be changed into a prime (102221011121227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23918899 + ... + 27866749.

It is an arithmetic number, because the mean of its divisors is an integer number (3117816117000).

Almost surely, 2102221011121224 is an apocalyptic number.

It is an amenable number.

102221011121224 is a deficient number, since it is larger than the sum of its proper divisors (97319220366776).

102221011121224 is a wasteful number, since it uses less digits than its factorization.

102221011121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948598 (or 3948594 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102221011121224 its reverse (422121110122201), we get a palindrome (524342121243425).

The spelling of 102221011121224 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 29 58 116 232 233 466 479 932 958 1864 1916 3832 6757 13514 13891 27028 27782 54056 55564 111128 111607 223214 446428 892856 3236603 3947851 6473206 7895702 12946412 15791404 25892824 31582808 114487679 228975358 457950716 915901432 919849283 1839698566 1891020629 3679397132 3782041258 7358794264 7564082516 15128165032 26675629207 53351258414 54839598241 106702516828 109679196482 213405033656 219358392964 438716785928 440607806557 881215613114 1762431226228 3524862452456 12777626390153 25555252780306 51110505560612 102221011121224