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1022223331020 = 2235295801101273
BaseRepresentation
bin11101110000000010100…
…00100010111011001100
310121201112111112121112010
432320001100202323030
5113222003133043040
62101334121341220
7133565434643403
oct16700120427314
93551474477463
101022223331020
1136458246a471
12146144637810
137551a483458
1437693b2063a
151b8cc7abe80
hexee01422ecc

1022223331020 has 96 divisors (see below), whose sum is σ = 2961462409920. Its totient is φ = 263145164800.

The previous prime is 1022223330959. The next prime is 1022223331021. The reversal of 1022223331020 is 201333222201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1022223331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10043104 + ... + 10144376.

It is an arithmetic number, because the mean of its divisors is an integer number (30848566770).

Almost surely, 21022223331020 is an apocalyptic number.

1022223331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022223331020 is an abundant number, since it is smaller than the sum of its proper divisors (1939239078900).

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

1022223331020 is a wasteful number, since it uses less digits than its factorization.

1022223331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107115 (or 107113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1022223331020 its reverse (201333222201), we get a palindrome (1223556553221).

The spelling of 1022223331020 in words is "one trillion, twenty-two billion, two hundred twenty-three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 5801 11602 17403 23204 29005 34806 58010 69612 87015 101273 116020 168229 174030 202546 303819 336458 348060 405092 504687 506365 607638 672916 841145 1009374 1012730 1215276 1519095 1682290 2018748 2025460 2523435 2936917 3038190 3364580 5046870 5873834 6076380 8810751 10093740 11747668 14684585 17621502 29369170 35243004 44053755 58738340 88107510 176215020 587484673 1174969346 1762454019 2349938692 2937423365 3524908038 5874846730 7049816076 8812270095 11749693460 17037055517 17624540190 34074111034 35249080380 51111166551 68148222068 85185277585 102222333102 170370555170 204444666204 255555832755 340741110340 511111665510 1022223331020