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1010221011102 = 234761233307821
BaseRepresentation
bin11101011001101011101…
…11010101000010011110
310120120120001001120211210
432230311313111002132
5113022413034323402
62052031130125250
7132662134625142
oct16546567250236
93516501046753
101010221011102
1135a483473906
12143954b80826
13743569b89c4
1436c75a9b222
151b428c2e06c
hexeb35dd509e

1010221011102 has 128 divisors (see below), whose sum is σ = 2115692587008. Its totient is φ = 321338188800.

The previous prime is 1010221011083. The next prime is 1010221011109. The reversal of 1010221011102 is 2011101220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010221011109) 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 63 ways as a sum of consecutive naturals, for example, 1230475852 + ... + 1230476672.

It is an arithmetic number, because the mean of its divisors is an integer number (16528848336).

Almost surely, 21010221011102 is an apocalyptic number.

1010221011102 is an abundant number, since it is smaller than the sum of its proper divisors (1105471575906).

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

1010221011102 is a wasteful number, since it uses less digits than its factorization.

1010221011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010221011102 its reverse (2011101220101), we get a palindrome (3021322231203).

The spelling of 1010221011102 in words is "one trillion, ten billion, two hundred twenty-one million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 47 61 94 122 141 183 233 282 307 366 466 614 699 821 921 1398 1642 1842 2463 2867 4926 5734 8601 10951 14213 14429 17202 18727 21902 28426 28858 32853 37454 38587 42639 43287 50081 56181 65706 71531 77174 85278 86574 100162 112362 115761 143062 150243 191293 214593 231522 252047 300486 382586 429186 504094 573879 668011 756141 880169 1147758 1336022 1512282 1760338 2004033 2353807 2640507 3361957 4008066 4363391 4707614 5281014 6723914 7061421 8726782 8990771 10085871 11668873 11846209 13090173 14122842 15374867 17981542 20171742 23337746 23692418 26180346 26972313 30749734 35006619 35538627 46124601 53944626 58726951 70013238 71077254 92249202 117453902 176180853 205079377 352361706 410158754 548437031 615238131 722618749 1096874062 1230476262 1445237498 1645311093 2167856247 2760166697 3290622186 3582344011 4335712494 5520333394 7164688022 8280500091 10747032033 16561000182 21494064066 168370168517 336740337034 505110505551 1010221011102