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10122210111020 = 2257194388496329
BaseRepresentation
bin1001001101001100001010…
…1111001110111000101100
31022211200012020010010200112
42103103002233032320230
52311320241242023040
633310025031515152
72063206542220130
oct223230257167054
938750166103615
1010122210111020
1132528947a4277
121175903828ab8
1358569c1a4497
1426dcbbbc53c0
1512847de61365
hex934c2bcee2c

10122210111020 has 96 divisors (see below), whose sum is σ = 26166594854400. Its totient is φ = 3211354750464.

The previous prime is 10122210111007. The next prime is 10122210111037. The reversal of 10122210111020 is 2011101222101.

10122210111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10122210110986 and 10122210111004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44133785 + ... + 44362544.

It is an arithmetic number, because the mean of its divisors is an integer number (272568696400).

Almost surely, 210122210111020 is an apocalyptic number.

10122210111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210111020 is an abundant number, since it is smaller than the sum of its proper divisors (16044384743380).

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

10122210111020 is a wasteful number, since it uses less digits than its factorization.

10122210111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88496407 (or 88496405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122210111020 its reverse (2011101222101), we get a palindrome (12133311333121).

The spelling of 10122210111020 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 43 70 76 86 95 133 140 172 190 215 266 301 380 430 532 602 665 817 860 1204 1330 1505 1634 2660 3010 3268 4085 5719 6020 8170 11438 16340 22876 28595 57190 114380 88496329 176992658 353985316 442481645 619474303 884963290 1238948606 1681430251 1769926580 2477897212 3097371515 3362860502 3805342147 6194743030 6725721004 7610684294 8407151255 11770011757 12389486060 15221368588 16814302510 19026710735 23540023514 26637395029 33628605020 38053421470 47080047028 53274790058 58850058785 72301500793 76106842940 106549580116 117700117570 133186975145 144603001586 235400235140 266373950290 289206003172 361507503965 506110505551 532747900580 723015007930 1012221011102 1446030015860 2024442022204 2530552527755 5061105055510 10122210111020