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2022122000010 = 2357731297101701
BaseRepresentation
bin11101011011001111110…
…111010000111010001010
321011022110011021212222210
4131123033313100322022
5231112301213000020
64144541112125550
7266044032254640
oct35331767207212
97138404255883
102022122000010
1170a639174922
12287a986968b6
131188ba7606c8
146dc2a90b190
15379001a93e0
hex1d6cfdd0e8a

2022122000010 has 128 divisors (see below), whose sum is σ = 5626759970304. Its totient is φ = 455511859200.

The previous prime is 2022122000009. The next prime is 2022122000033. The reversal of 2022122000010 is 100002212202.

It is a super-3 number, since 3×20221220000103 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022122000010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19832160 + ... + 19933860.

It is an arithmetic number, because the mean of its divisors is an integer number (43959062268).

Almost surely, 22022122000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022122000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813379985152).

2022122000010 is an abundant number, since it is smaller than the sum of its proper divisors (3604637970294).

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

2022122000010 is a wasteful number, since it uses less digits than its factorization.

2022122000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103088.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022122000010 its reverse (100002212202), we get a palindrome (2122124212212).

The spelling of 2022122000010 in words is "two trillion, twenty-two billion, one hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1297 1533 2190 2555 2594 3066 3891 5110 6485 7665 7782 9079 12970 15330 18158 19455 27237 38910 45395 54474 90790 94681 101701 136185 189362 203402 272370 284043 305103 473405 508505 568086 610206 662767 711907 946810 1017010 1325534 1420215 1423814 1525515 1988301 2135721 2840430 3051030 3313835 3559535 3976602 4271442 6627670 7119070 7424173 9941505 10678605 14848346 19883010 21357210 22272519 37120865 44545038 51969211 74241730 103938422 111362595 131906197 155907633 222725190 259846055 263812394 311815266 395718591 519692110 659530985 779538165 791437182 923343379 1319061970 1559076330 1846686758 1978592955 2770030137 3957185910 4616716895 5540060274 9233433790 9629152381 13850150685 19258304762 27700301370 28887457143 48145761905 57774914286 67404066667 96291523810 134808133334 144437285715 202212200001 288874571430 337020333335 404424400002 674040666670 1011061000005 2022122000010