Search a number
-
+
2137220227312 = 244310729032007
BaseRepresentation
bin11111000110011100010…
…000001010000011110000
321120022112112220122110021
4133012130100022003300
5240004011334233222
64313454142413224
7310260211122562
oct37063420120360
97508475818407
102137220227312
11754432112625
122a625a891214
1312670125bb51
1475628c41332
153a8d9b5cac7
hex1f19c40a0f0

2137220227312 has 40 divisors (see below), whose sum is σ = 4276763162496. Its totient is φ = 1034003925696.

The previous prime is 2137220227229. The next prime is 2137220227333.

2137220227312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14442388 + ... + 14589619.

Almost surely, 22137220227312 is an apocalyptic number.

It is an amenable number.

2137220227312 is an abundant number, since it is smaller than the sum of its proper divisors (2139542935184).

2137220227312 is a wasteful number, since it uses less digits than its factorization.

2137220227312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032165 (or 29032159 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 2137220227312 in words is "two trillion, one hundred thirty-seven billion, two hundred twenty million, two hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 43 86 107 172 214 344 428 688 856 1712 4601 9202 18404 36808 73616 29032007 58064014 116128028 232256056 464512112 1248376301 2496752602 3106424749 4993505204 6212849498 9987010408 12425698996 19974020816 24851397992 49702795984 133576264207 267152528414 534305056828 1068610113656 2137220227312