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20232131000 = 2353191995351
BaseRepresentation
bin10010110101111011…
…011101000110111000
31221020000022202010012
4102311323131012320
5312413411143000
613143340441052
71314241163444
oct226573350670
957200282105
1020232131000
118642568524
123b07849188
131ba5801b63
14d9d06d824
157d6320735
hex4b5edd1b8

20232131000 has 128 divisors (see below), whose sum is σ = 50094720000. Its totient is φ = 7626960000.

The previous prime is 20232130979. The next prime is 20232131009. The reversal of 20232131000 is 13123202.

It is a happy number.

It is a super-2 number, since 2×202321310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232131009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3778325 + ... + 3783675.

It is an arithmetic number, because the mean of its divisors is an integer number (391365000).

Almost surely, 220232131000 is an apocalyptic number.

20232131000 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 20232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047360000).

20232131000 is an abundant number, since it is smaller than the sum of its proper divisors (29862589000).

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

20232131000 is a wasteful number, since it uses less digits than its factorization.

20232131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20232131000 its reverse (13123202), we get a palindrome (20245254202).

The spelling of 20232131000 in words is "twenty billion, two hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 199 200 250 380 398 475 500 760 796 950 995 1000 1592 1900 1990 2375 3781 3800 3980 4750 4975 5351 7562 7960 9500 9950 10702 15124 18905 19000 19900 21404 24875 26755 30248 37810 39800 42808 49750 53510 75620 94525 99500 101669 107020 133775 151240 189050 199000 203338 214040 267550 378100 406676 472625 508345 535100 668875 756200 813352 945250 1016690 1064849 1070200 1337750 1890500 2033380 2129698 2541725 2675500 3781000 4066760 4259396 5083450 5324245 5351000 8518792 10166900 10648490 12708625 20232131 20333800 21296980 25417250 26621225 40464262 42593960 50834500 53242450 80928524 101160655 101669000 106484900 133106125 161857048 202321310 212969800 266212250 404642620 505803275 532424500 809285240 1011606550 1064849000 2023213100 2529016375 4046426200 5058032750 10116065500 20232131000