Search a number
-
+
122996101264 = 2443220392
BaseRepresentation
bin111001010001100100…
…0111001000010010000
3102202110210212022202221
41302203020321002100
54003344000220024
6132300441150424
711612646416341
oct1624310710220
9382423768687
10122996101264
1148187102373
121ba0718b414
13b7a1b3515a
145d4b2160c8
1532ed0293e4
hex1ca3239090

122996101264 has 45 divisors (see below), whose sum is σ = 244095518163. Its totient is φ = 60038403936.

The previous prime is 122996101253. The next prime is 122996101273. The reversal of 122996101264 is 462101699221.

The square root of 122996101264 is 350708.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1229961012642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122996101264.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60320757 + ... + 60322795.

Almost surely, 2122996101264 is an apocalyptic number.

122996101264 is the 350708-th square number.

It is an amenable number.

122996101264 is a deficient number, since it is larger than the sum of its proper divisors (121099416899).

122996101264 is an frugal number, since it uses more digits than its factorization.

122996101264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 122996101264 in words is "one hundred twenty-two billion, nine hundred ninety-six million, one hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 43 86 172 344 688 1849 2039 3698 4078 7396 8156 14792 16312 29584 32624 87677 175354 350708 701416 1402832 3770111 4157521 7540222 8315042 15080444 16630084 30160888 33260168 60321776 66520336 178773403 357546806 715093612 1430187224 2860374448 7687256329 15374512658 30749025316 61498050632 122996101264