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102222001020 = 223579101213523
BaseRepresentation
bin101111100110011100…
…1111111001101111100
3100202212000201200121210
41133030321333031330
53133322313013040
6114543220124420
710246104446406
oct1371471771574
9322760650553
10102222001020
113a396722387
1217989b36710
139840c75249
144d3a1c7b76
1529d4350480
hex17cce7f37c

102222001020 has 96 divisors (see below), whose sum is σ = 292715781120. Its totient is φ = 26647545600.

The previous prime is 102222001009. The next prime is 102222001043. The reversal of 102222001020 is 20100222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102222000987 and 102222001005.

It is a congruent number.

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, 371979 + ... + 585501.

It is an arithmetic number, because the mean of its divisors is an integer number (3049122720).

Almost surely, 2102222001020 is an apocalyptic number.

102222001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146357890560).

102222001020 is an abundant number, since it is smaller than the sum of its proper divisors (190493780100).

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

102222001020 is a wasteful number, since it uses less digits than its factorization.

102222001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213715 (or 213713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102222001020 its reverse (20100222201), we get a palindrome (122322223221).

The spelling of 102222001020 in words is "one hundred two billion, two hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 101 158 202 237 303 316 395 404 474 505 606 790 948 1010 1185 1212 1515 1580 2020 2370 3030 4740 6060 7979 15958 23937 31916 39895 47874 79790 95748 119685 159580 213523 239370 427046 478740 640569 854092 1067615 1281138 2135230 2562276 3202845 4270460 6405690 12811380 16868317 21565823 33736634 43131646 50604951 64697469 67473268 84341585 86263292 101209902 107829115 129394938 168683170 202419804 215658230 253024755 258789876 323487345 337366340 431316460 506049510 646974690 1012099020 1293949380 1703700017 3407400034 5111100051 6814800068 8518500085 10222200102 17037000170 20444400204 25555500255 34074000340 51111000510 102222001020