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22301031123020 = 22513127754189561
BaseRepresentation
bin1010001001000010111010…
…00010011100100001001100
32220221221212012110212020102
411010201131002130201030
510410340002431414040
6115232541404510232
74461124224610016
oct504413502344114
986857765425212
1022301031123020
1171188a5756101
12260210a24b378
13c59c94190070
14571538b7d1b6
1528a17ad00515
hex14485d09c84c

22301031123020 has 96 divisors (see below), whose sum is σ = 50839071123456. Its totient is φ = 8168215910400.

The previous prime is 22301031122957. The next prime is 22301031123101. The reversal of 22301031123020 is 2032113010322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22301031122983 and 22301031123001.

It is an unprimeable number.

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, 248959040 + ... + 249048600.

It is an arithmetic number, because the mean of its divisors is an integer number (529573657536).

Almost surely, 222301031123020 is an apocalyptic number.

22301031123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22301031123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25419535561728).

22301031123020 is an abundant number, since it is smaller than the sum of its proper divisors (28538040000436).

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

22301031123020 is a wasteful number, since it uses less digits than its factorization.

22301031123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97251 (or 97249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22301031123020 its reverse (2032113010322), we get a palindrome (24333144133342).

The spelling of 22301031123020 in words is "twenty-two trillion, three hundred one billion, thirty-one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 7541 8255 15082 16510 30164 33020 37705 75410 89561 98033 150820 179122 196066 358244 392132 447805 490165 895610 957707 980330 1164293 1791220 1915414 1960660 2328586 3830828 4657172 4788535 5821465 9577070 11374247 11642930 12450191 19154140 22748494 23285860 24900382 45496988 49800764 56871235 62250955 113742470 124501910 147865211 227484940 249003820 295730422 591460844 675379501 739326055 1350759002 1478652110 2701518004 2957304220 3376897505 6753795010 8779933513 13507590020 17559867026 35119734052 43899667565 85773196627 87799335130 171546393254 175598670260 343092786508 428865983135 857731966270 1115051556151 1715463932540 2230103112302 4460206224604 5575257780755 11150515561510 22301031123020