Search a number
-
+
2131230020 = 225415994339
BaseRepresentation
bin111111100000111…
…1111110101000100
312111112021200222012
41333001333311010
513331043330040
6551251353352
7103546104413
oct17701776504
95445250865
102131230020
119a4029727
124b58b2858
1327c70396a
1416309947a
15c7185865
hex7f07fd44

2131230020 has 48 divisors (see below), whose sum is σ = 4593456000. Its totient is φ = 830119680.

The previous prime is 2131229983. The next prime is 2131230089. The reversal of 2131230020 is 200321312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131229977 and 2131230004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489011 + ... + 493349.

It is an arithmetic number, because the mean of its divisors is an integer number (95697000).

Almost surely, 22131230020 is an apocalyptic number.

2131230020 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 2131230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296728000).

2131230020 is an abundant number, since it is smaller than the sum of its proper divisors (2462225980).

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

2131230020 is a wasteful number, since it uses less digits than its factorization.

2131230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4986 counting only the distinct ones).

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

The square root of 2131230020 is about 46165.2468855090. The cubic root of 2131230020 is about 1286.8959722981.

Adding to 2131230020 its reverse (200321312), we get a palindrome (2331551332).

The spelling of 2131230020 in words is "two billion, one hundred thirty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 599 820 1198 2396 2995 4339 5990 8678 11980 17356 21695 24559 43390 49118 86780 98236 122795 177899 245590 355798 491180 711596 889495 1778990 2599061 3557980 5198122 10396244 12995305 25990610 51981220 106561501 213123002 426246004 532807505 1065615010 2131230020