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22121031004440 = 23355327073128473
BaseRepresentation
bin1010000011110011101000…
…01100011111000100011000
32220022202020200111102022220
411001321310030133010120
510344412332414120230
6115014132241344040
74442122525054134
oct501716414370430
986282220442286
1022121031004440
117059527342925
122593254638020
13c46009506864
14566940d523c4
152856435c1d10
hex141e7431f118

22121031004440 has 128 divisors (see below), whose sum is σ = 67618250677440. Its totient is φ = 5787381989376.

The previous prime is 22121031004417. The next prime is 22121031004441. The reversal of 22121031004440 is 4440013012122.

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 22121031004440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121031004441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172120044 + ... + 172248516.

Almost surely, 222121031004440 is an apocalyptic number.

22121031004440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121031004440 is an abundant number, since it is smaller than the sum of its proper divisors (45497219673000).

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

22121031004440 is a wasteful number, since it uses less digits than its factorization.

22121031004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155613 (or 155609 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22121031004440 its reverse (4440013012122), we get a palindrome (26561044016562).

The spelling of 22121031004440 in words is "twenty-two trillion, one hundred twenty-one billion, thirty-one million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 27073 54146 81219 108292 128473 135365 162438 216584 256946 270730 324876 385419 406095 513892 541460 642365 649752 770838 812190 1027784 1082920 1284730 1434869 1541676 1624380 1927095 2569460 2869738 3083352 3248760 3854190 4304607 5138920 5739476 6809069 7174345 7708380 8609214 11478952 13618138 14348690 15416760 17218428 20427207 21523035 27236276 28697380 34045345 34436856 40854414 43046070 54472552 57394760 68090690 81708828 86092140 102136035 136181380 163417656 172184280 204272070 272362760 408544140 817088280 3478149529 6956299058 10434448587 13912598116 17390747645 20868897174 27825196232 34781495290 41737794348 52172242935 69562990580 83475588696 104344485870 139125981160 184341925037 208688971740 368683850074 417377943480 553025775111 737367700148 921709625185 1106051550222 1474735400296 1843419250370 2212103100444 2765128875555 3686838500740 4424206200888 5530257751110 7373677001480 11060515502220 22121031004440