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1022020222122 = 232316766141357
BaseRepresentation
bin11101101111101010010…
…01101111110010101010
310121201000100100121111100
432313311021233302222
5113221044134101442
62101302024142230
7133560420360234
oct16676511576252
93551010317440
101022020222122
11364488853779
121460a8607976
13754b737b083
1437674b6d254
151b8b9a3b84c
hexedf526fcaa

1022020222122 has 96 divisors (see below), whose sum is σ = 2323491116544. Its totient is φ = 324264124800.

The previous prime is 1022020222099. The next prime is 1022020222231. The reversal of 1022020222122 is 2212220202201.

1022020222122 is a `hidden beast` number, since 1 + 0 + 220 + 202 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022020222095 and 1022020222104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24691468 + ... + 24732824.

It is an arithmetic number, because the mean of its divisors is an integer number (24203032464).

Almost surely, 21022020222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022020222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161745558272).

1022020222122 is an abundant number, since it is smaller than the sum of its proper divisors (1301470894422).

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

1022020222122 is a wasteful number, since it uses less digits than its factorization.

1022020222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42124 (or 42121 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1022020222122 its reverse (2212220202201), we get a palindrome (3234240424323).

The spelling of 1022020222122 in words is "one trillion, twenty-two billion, twenty million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 661 1206 1322 1983 2077 3966 4154 5949 6231 11898 12462 18693 20491 37386 40982 41357 44287 61473 82714 88574 122946 124071 132861 184419 248142 265722 368838 372213 398583 744426 797166 1282067 1372897 2564134 2745794 2770919 3846201 4118691 5541838 7692402 8237382 8312757 11538603 12356073 16625514 23077206 24712146 24938271 27336977 49876542 54673954 82010931 85898489 164021862 171796978 246032793 257695467 492065586 515390934 773086401 847446287 1546172802 1694892574 1831577459 2542338861 3663154918 5084677722 5494732377 7627016583 10989464754 15254033166 16484197131 32968394262 56778901229 113557802458 170336703687 340673407374 511010111061 1022020222122