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202211010121020 = 223523243343602153
BaseRepresentation
bin101101111110100011101011…
…011011011000110100111100
3222111222011221222020200200220
4231332203223123120310330
5203001011122042333040
61554022242225421340
760410156223255015
oct5576435333306474
9874864858220626
10202211010121020
11594812316461aa
121a819a2219a850
1388aa554ba1714
1437d10ca93c00c
151859e8bdce2d0
hexb7e8eb6d8d3c

202211010121020 has 96 divisors (see below), whose sum is σ = 590811229919232. Its totient is φ = 51578162938368.

The previous prime is 202211010120991. The next prime is 202211010121037. The reversal of 202211010121020 is 20121010112202.

It is a super-2 number, since 2×2022110101210202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335512264 + ... + 336114416.

It is an arithmetic number, because the mean of its divisors is an integer number (6154283644992).

Almost surely, 2202211010121020 is an apocalyptic number.

202211010121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211010121020 is an abundant number, since it is smaller than the sum of its proper divisors (388600219798212).

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

202211010121020 is a wasteful number, since it uses less digits than its factorization.

202211010121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845531 (or 845529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202211010121020 its reverse (20121010112202), we get a palindrome (222332020233222).

The spelling of 202211010121020 in words is "two hundred two trillion, two hundred eleven billion, ten million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 243343 486686 602153 730029 973372 1204306 1216715 1460058 1806459 2408612 2433430 2920116 3010765 3612918 3650145 4866860 5596889 6021530 7225836 7300290 9032295 11193778 12043060 13849519 14600580 16790667 18064590 22387556 27699038 27984445 33581334 36129180 41548557 55398076 55968890 67162668 69247595 83097114 83953335 111937780 138495190 166194228 167906670 207742785 276990380 335813340 415485570 830971140 146529717479 293059434958 439589152437 586118869916 732648587395 879178304874 1465297174790 1758356609748 2197945762185 2930594349580 3370183502017 4395891524370 6740367004034 8791783048740 10110550506051 13480734008068 16850917510085 20221101012102 33701835020170 40442202024204 50552752530255 67403670040340 101105505060510 202211010121020