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2213024203122 = 23232924111092069
BaseRepresentation
bin100000001101000010100…
…001011000000101110010
321211120012110110121100220
4200031002201120011302
5242224233143444442
64412352124553510
7315612542232525
oct40150241300562
97746173417326
102213024203122
117835a1518617
122b8a953b2896
131308c1c7a7c5
147917a5dabbc
153c874a84eec
hex20342858172

2213024203122 has 128 divisors (see below), whose sum is σ = 4804214976000. Its totient is φ = 677504593920.

The previous prime is 2213024203111. The next prime is 2213024203123.

2213024203122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22130242031222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213024203092 and 2213024203101.

It is not an unprimeable number, because it can be changed into a prime (2213024203123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069609504 + ... + 1069611572.

It is an arithmetic number, because the mean of its divisors is an integer number (37532929500).

Almost surely, 22213024203122 is an apocalyptic number.

2213024203122 is an abundant number, since it is smaller than the sum of its proper divisors (2591190772878).

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

2213024203122 is a wasteful number, since it uses less digits than its factorization.

2213024203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2213024203122 in words is "two trillion, two hundred thirteen billion, twenty-four million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 241 482 667 723 1109 1334 1446 2001 2069 2218 3327 4002 4138 5543 6207 6654 6989 11086 12414 13978 16629 20967 25507 32161 33258 41934 47587 51014 60001 64322 76521 95174 96483 120002 142761 153042 160747 180003 192966 267269 285522 321494 360006 482241 498629 534538 739703 801807 964482 997258 1380023 1479406 1495887 1603614 2219109 2294521 2760046 2991774 4140069 4438218 4589042 6147187 6883563 7750801 8280138 11468467 12294374 13767126 14460241 15501602 18441561 22936934 23252403 28920482 34405401 36883122 43380723 46504806 52773983 66541109 68810802 86761446 105547966 133082218 158321949 178268423 199623327 316643898 332585543 356536846 399246654 534805269 552979561 665171086 997756629 1069610538 1105959122 1530445507 1658938683 1995513258 3060891014 3317877366 4591336521 9182673042 12718529903 16036407269 25437059806 32072814538 38155589709 48109221807 76311179418 96218443614 368837367187 737674734374 1106512101561 2213024203122