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32113131210020 = 22571811588779769
BaseRepresentation
bin1110100110100111010111…
…10001110100010100100100
311012200222121022212112110202
413103103223301310110210
513202120143042210040
6152144322510410032
76523045220331020
oct723235361642444
9135628538775422
1032113131210020
11a261114420423
1237278a6800918
1314bc341b051c3
147d03d8c1d380
153aa509c10015
hex1d34ebc74524

32113131210020 has 96 divisors (see below), whose sum is σ = 77503173995520. Its totient is φ = 10948560030720.

The previous prime is 32113131210011. The next prime is 32113131210031. The reversal of 32113131210020 is 2001213131123.

It is a happy number.

It is a super-2 number, since 2×321131312100202 (a number of 28 digits) contains 22 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 = 32113131209974 and 32113131210001.

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, 402536696 + ... + 402616464.

It is an arithmetic number, because the mean of its divisors is an integer number (807324729120).

Almost surely, 232113131210020 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 32113131210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38751586997760).

32113131210020 is an abundant number, since it is smaller than the sum of its proper divisors (45390042785500).

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

32113131210020 is a wasteful number, since it uses less digits than its factorization.

32113131210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95853 (or 95851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 32113131210020 its reverse (2001213131123), we get a palindrome (34114344341143).

The spelling of 32113131210020 in words is "thirty-two trillion, one hundred thirteen billion, one hundred thirty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 15887 25340 31774 63548 79435 79769 111209 158870 159538 222418 317740 319076 398845 444836 556045 558383 797690 1112090 1116766 1595380 2224180 2233532 2791915 2875547 5583830 5751094 11167660 11502188 14377735 14438189 20128829 28755470 28876378 40257658 57510940 57752756 72190945 80515316 100644145 101067323 144381890 201288290 202134646 288763780 402576580 404269292 505336615 1010673230 1267290103 2021346460 2534580206 5069160412 6336450515 8871030721 12672901030 17742061442 25345802060 35484122884 44355153605 88710307210 177420614420 229379508643 458759017286 917518034572 1146897543215 1605656560501 2293795086430 3211313121002 4587590172860 6422626242004 8028282802505 16056565605010 32113131210020