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20133201022440 = 23351173208937329
BaseRepresentation
bin1001001001111101000000…
…10010111000110111101000
32122021201022101200112120020
410210332200102320313220
510114330243430204230
6110453022002200440
74145401330025112
oct444764022706750
978251271615506
1020133201022440
116462496118760
122311b48353120
13b307253c458c
144d86488da3b2
1524da9dc4a810
hex124fa04b8de8

20133201022440 has 128 divisors (see below), whose sum is σ = 66793085654400. Its totient is φ = 4813916037120.

The previous prime is 20133201022427. The next prime is 20133201022453. The reversal of 20133201022440 is 4422010233102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20133201022427) and next prime (20133201022453).

It is a super-2 number, since 2×201332010224402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20133201022440.

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, 104372305 + ... + 104565024.

It is an arithmetic number, because the mean of its divisors is an integer number (521820981675).

Almost surely, 220133201022440 is an apocalyptic number.

20133201022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133201022440 is an abundant number, since it is smaller than the sum of its proper divisors (46659884631960).

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

20133201022440 is a wasteful number, since it uses less digits than its factorization.

20133201022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208937427 (or 208937423 counting only the distinct ones).

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

Adding to 20133201022440 its reverse (4422010233102), we get a palindrome (24555211255542).

The spelling of 20133201022440 in words is "twenty trillion, one hundred thirty-three billion, two hundred one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 208937329 417874658 626811987 835749316 1044686645 1253623974 1671498632 2089373290 2298310619 2507247948 3134059935 4178746580 4596621238 5014495896 6268119870 6894931857 8357493160 9193242476 11491553095 12536239740 13789863714 15252425017 18386484952 22983106190 25072479480 27579727428 30504850034 34474659285 45757275051 45966212380 55159454856 61009700068 68949318570 76262125085 91514550102 91932424760 122019400136 137898637140 152524250170 167776675187 183029100204 228786375255 275797274280 305048500340 335553350374 366058200408 457572750510 503330025561 610097000680 671106700748 838883375935 915145501020 1006660051122 1342213401496 1677766751870 1830291002040 2013320102244 2516650127805 3355533503740 4026640204488 5033300255610 6711067007480 10066600511220 20133201022440