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20320132030302 = 23131393191587341
BaseRepresentation
bin1001001111011001001100…
…10000000101111101011110
32122221120210221100122011210
410213230212100011331132
510130411112244432202
6111114534554325250
74165036546256166
oct447544620057536
978846727318153
1020320132030302
1165247a0871705
122342217129826
13b45245c66bc0
145036dd0135a6
1525388eb90c6c
hex127b26405f5e

20320132030302 has 64 divisors (see below), whose sum is σ = 44095194017280. Its totient is φ = 6205411555200.

The previous prime is 20320132030277. The next prime is 20320132030369. The reversal of 20320132030302 is 20303023102302.

It is a super-2 number, since 2×203201320303022 (a number of 27 digits) contains 22 as substring.

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, 34303152 + ... + 34890492.

It is an arithmetic number, because the mean of its divisors is an integer number (688987406520).

Almost surely, 220320132030302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320132030302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22047597008640).

20320132030302 is an abundant number, since it is smaller than the sum of its proper divisors (23775061986978).

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

20320132030302 is a wasteful number, since it uses less digits than its factorization.

20320132030302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590689.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20320132030302 its reverse (20303023102302), we get a palindrome (40623155132604).

The spelling of 20320132030302 in words is "twenty trillion, three hundred twenty billion, one hundred thirty-two million, thirty thousand, three hundred two".

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 3191 3614 5421 6382 9573 10842 19146 41483 82966 124449 248898 443549 587341 887098 1174682 1330647 1762023 2661294 3524046 5766137 7635433 11532274 15270866 17298411 22906299 34596822 45812598 81640399 163280798 244921197 489842394 1061325187 1874205131 2122650374 3183975561 3748410262 5622615393 6367951122 11245230786 24364666703 48729333406 73094000109 146188000218 260514513209 521029026418 781543539627 1563087079254 3386688671717 6773377343434 10160066015151 20320132030302