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20023122211220 = 22541792711140569
BaseRepresentation
bin1001000110101111111110…
…00101100011000110010100
32121220012011210222112112002
410203113333011203012110
510111024323241224340
6110330254555214432
74134423430412252
oct443277705430624
977805153875462
1020023122211220
11641a838539607
1222b4747147418
13b2323179241b
144d31a507d5d2
1524aca9c86715
hex1235ff163194

20023122211220 has 96 divisors (see below), whose sum is σ = 43780368844800. Its totient is φ = 7686515865600.

The previous prime is 20023122211181. The next prime is 20023122211307. The reversal of 20023122211220 is 2211222132002.

It is a super-3 number, since 3×200231222112203 (a number of 41 digits) contains 333 as substring.

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 = 20023122211192 and 20023122211201.

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, 16985096 + ... + 18125664.

It is an arithmetic number, because the mean of its divisors is an integer number (456045508800).

Almost surely, 220023122211220 is an apocalyptic number.

20023122211220 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 20023122211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890184422400).

20023122211220 is an abundant number, since it is smaller than the sum of its proper divisors (23757246633580).

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

20023122211220 is a wasteful number, since it uses less digits than its factorization.

20023122211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140969 (or 1140967 counting only the distinct ones).

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

Adding to 20023122211220 its reverse (2211222132002), we get a palindrome (22234344343222).

The spelling of 20023122211220 in words is "twenty trillion, twenty-three billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 271 316 395 410 542 790 820 1084 1355 1580 2710 3239 5420 6478 11111 12956 16195 21409 22222 32390 42818 44444 55555 64780 85636 107045 111110 214090 222220 428180 877769 1140569 1755538 2281138 3511076 4388845 4562276 5702845 8777690 11405690 17555380 22811380 46763329 90104951 93526658 180209902 187053316 233816645 309094199 360419804 450524755 467633290 618188398 901049510 935266580 1236376796 1545470995 1802099020 3090941990 3694302991 6181883980 7388605982 12672862159 14777211964 18471514955 24418441721 25345724318 36943029910 48836883442 50691448636 63364310795 73886059820 97673766884 122092208605 126728621590 244184417210 253457243180 488368834420 1001156110561 2002312221122 4004624442244 5005780552805 10011561105610 20023122211220