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20322200121140 = 22519471526974521
BaseRepresentation
bin1001001111011101000011…
…00001001110111100110100
32122221210011001211112110202
410213232201201032330310
510130424331212334030
6111115520112540032
74165142030613431
oct447564141167464
978853131745422
1020322200121140
116525662195995
1223426b3851618
13b454b5561aa8
14503857954b88
15253961503745
hex127ba184ef34

20322200121140 has 96 divisors (see below), whose sum is σ = 45882181900800. Its totient is φ = 7536597488640.

The previous prime is 20322200121101. The next prime is 20322200121161. The reversal of 20322200121140 is 4112100222302.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272667080 + ... + 272741600.

It is an arithmetic number, because the mean of its divisors is an integer number (477939394800).

Almost surely, 220322200121140 is an apocalyptic number.

20322200121140 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 20322200121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22941090950400).

20322200121140 is an abundant number, since it is smaller than the sum of its proper divisors (25559981779660).

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

20322200121140 is a wasteful number, since it uses less digits than its factorization.

20322200121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89865 (or 89863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20322200121140 its reverse (4112100222302), we get a palindrome (24434300343442).

The spelling of 20322200121140 in words is "twenty trillion, three hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 15269 17860 30538 61076 74521 76345 149042 152690 290111 298084 305380 372605 580222 717643 745210 1160444 1415899 1435286 1450555 1490420 2831798 2870572 2901110 3502487 3588215 5663596 5802220 7004974 7079495 7176430 13635217 14009948 14158990 14352860 17512435 27270434 28317980 35024870 54540868 66547253 68176085 70049740 133094506 136352170 266189012 272704340 332736265 665472530 1137861149 1330945060 2275722298 4551444596 5689305745 11378611490 21619361831 22757222980 43238723662 53479474003 86477447324 106958948006 108096809155 213917896012 216193618310 267397370015 432387236620 534794740030 1016110006057 1069589480060 2032220012114 4064440024228 5080550030285 10161100060570 20322200121140