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2131334130 = 235438291993
BaseRepresentation
bin111111100001001…
…1001001111110010
312111112110222210010
41333002121033302
513331110143010
6551253515350
7103550020062
oct17702311762
95445428703
102131334130
119a409a972
124b5942b56
1327c73c173
141630c53a2
15c71a6620
hex7f0993f2

2131334130 has 64 divisors (see below), whose sum is σ = 5243103360. Its totient is φ = 554190336.

The previous prime is 2131334129. The next prime is 2131334131. The reversal of 2131334130 is 314331312.

It is an interprime number because it is at equal distance from previous prime (2131334129) and next prime (2131334131).

It is a junction number, because it is equal to n+sod(n) for n = 2131334097 and 2131334106.

It is not an unprimeable number, because it can be changed into a prime (2131334131) 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, 1068414 + ... + 1070406.

It is an arithmetic number, because the mean of its divisors is an integer number (81923490).

Almost surely, 22131334130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131334130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621551680).

2131334130 is an abundant number, since it is smaller than the sum of its proper divisors (3111769230).

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

2131334130 is a wasteful number, since it uses less digits than its factorization.

2131334130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2131334130 is about 46166.3744515421. The cubic root of 2131334130 is about 1286.9169267949.

Adding to 2131334130 its reverse (314331312), we get a palindrome (2445665442).

The spelling of 2131334130 in words is "two billion, one hundred thirty-one million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 829 1290 1658 1993 2487 3986 4145 4974 5979 8290 9965 11958 12435 19930 24870 29895 35647 59790 71294 85699 106941 171398 178235 213882 257097 356470 428495 514194 534705 856990 1069410 1285485 1652197 2570970 3304394 4956591 8260985 9913182 16521970 24782955 49565910 71044471 142088942 213133413 355222355 426266826 710444710 1065667065 2131334130