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31020201414 = 2323752189399
BaseRepresentation
bin11100111000111100…
…101011010111000110
32222001211222111121200
4130320330223113012
51002012132421124
622130034323330
72145465234666
oct347074532706
988054874550
1031020201414
11121791054a4
126018729546
132c04856287
141703b341a6
15c1849abc9
hex738f2b5c6

31020201414 has 48 divisors (see below), whose sum is σ = 69160197600. Its totient is φ = 10041183360.

The previous prime is 31020201397. The next prime is 31020201431. The reversal of 31020201414 is 41410202013.

31020201414 is a `hidden beast` number, since 31 + 0 + 20 + 201 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (31020201397) and next prime (31020201431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302287 + ... + 391685.

It is an arithmetic number, because the mean of its divisors is an integer number (1440837450).

Almost surely, 231020201414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020201414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34580098800).

31020201414 is an abundant number, since it is smaller than the sum of its proper divisors (38139996186).

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

31020201414 is a wasteful number, since it uses less digits than its factorization.

31020201414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89965 (or 89962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31020201414 its reverse (41410202013), we get a palindrome (72430403427).

The spelling of 31020201414 in words is "thirty-one billion, twenty million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 521 666 1042 1563 3126 4689 9378 19277 38554 57831 89399 115662 173493 178798 268197 346986 536394 804591 1609182 3307763 6615526 9923289 19846578 29769867 46576879 59539734 93153758 139730637 279461274 419191911 838383822 1723344523 3446689046 5170033569 10340067138 15510100707 31020201414