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20233202341032 = 2332975215560613
BaseRepresentation
bin1001001100110111010001…
…10101101001010010101000
32122122021102122210212120200
410212123220311221102220
510123000044244403112
6111011001013352200
74155541421144652
oct446335065512250
978567378725520
1020233202341032
1164a09422744aa
1223293b6638660
13b39ca1276245
144dd413bc16d2
152514a3145cdc
hex1266e8d694a8

20233202341032 has 96 divisors (see below), whose sum is σ = 55469460107880. Its totient is φ = 6662058024960.

The previous prime is 20233202341003. The next prime is 20233202341063. The reversal of 20233202341032 is 23014320233202.

20233202341032 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 320 + 234 + 103 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18226973721636 + 2006228619396 = 4269306^2 + 1416414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20233202340987 and 20233202341005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858358 + ... + 6418970.

Almost surely, 220233202341032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233202341032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734730053940).

20233202341032 is an abundant number, since it is smaller than the sum of its proper divisors (35236257766848).

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

20233202341032 is a wasteful number, since it uses less digits than its factorization.

20233202341032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561243 (or 5561236 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20233202341032 its reverse (23014320233202), we get a palindrome (43247522574234).

The spelling of 20233202341032 in words is "twenty trillion, two hundred thirty-three billion, two hundred two million, three hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 521 582 776 873 1042 1164 1563 1746 2084 2328 3126 3492 4168 4689 6252 6984 9378 12504 18756 37512 50537 101074 151611 202148 303222 404296 454833 606444 909666 1212888 1819332 3638664 5560613 11121226 16681839 22242452 33363678 44484904 50045517 66727356 100091034 133454712 200182068 400364136 539379461 1078758922 1618138383 2157517844 2897079373 3236276766 4315035688 4854415149 5794158746 6472553532 8691238119 9708830298 11588317492 12945107064 17382476238 19417660596 23176634984 26073714357 34764952476 38835321192 52147428714 69529904952 104294857428 208589714856 281016699181 562033398362 843050097543 1124066796724 1686100195086 2248133593448 2529150292629 3372200390172 5058300585258 6744400780344 10116601170516 20233202341032