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2131220000313 = 323771728312377
BaseRepresentation
bin11111000000110110100…
…111000110111000111001
321112202001101102112101200
4133000312213012320321
5234404214310002223
64311022521004413
7306655422050445
oct37006647067071
97482041375350
102131220000313
11751933147238
122a5065323709
13125c86113981
1475219db3825
153a687ecca43
hex1f0369c6e39

2131220000313 has 48 divisors (see below), whose sum is σ = 3206858967936. Its totient is φ = 1362645123840.

The previous prime is 2131220000233. The next prime is 2131220000323. The reversal of 2131220000313 is 3130000221312.

2131220000313 is a `hidden beast` number, since 2 + 131 + 220 + 0 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 2131220000313 - 216 = 2131219934777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131220000323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172185781 + ... + 172198157.

It is an arithmetic number, because the mean of its divisors is an integer number (66809561832).

Almost surely, 22131220000313 is an apocalyptic number.

It is an amenable number.

2131220000313 is a deficient number, since it is larger than the sum of its proper divisors (1075638967623).

2131220000313 is a wasteful number, since it uses less digits than its factorization.

2131220000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19774 (or 19771 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2131220000313 its reverse (3130000221312), we get a palindrome (5261220221625).

The spelling of 2131220000313 in words is "two trillion, one hundred thirty-one billion, two hundred twenty million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 71 111 213 333 639 2627 7283 7881 12377 21849 23643 37131 65547 111393 269471 457949 517093 808413 878767 1373847 1551279 2425239 2636301 4121541 4653837 7908903 19132441 32514379 57397323 90141691 97543137 172191969 270425073 292629411 811275219 3335242567 6400060061 10005727701 19200180183 30017183103 57600540549 236802222257 710406666771 2131220000313