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332130222031233 = 34173137271996301
BaseRepresentation
bin100101110000100100001011…
…1111001110100000110000001
31121112222100011020012210112010
41023201020113321310012001
5322013110143314444413
63134214303450323133
7126646421343525153
oct11341102771640601
91545870136183463
10332130222031233
11969106aa7a087a
123130108b4294a9
131134298cc7c082
145c0328d416ad3
15285e708bd5dc3
hex12e1217e74181

332130222031233 has 64 divisors (see below), whose sum is σ = 464921889352704. Its totient is φ = 210724623360000.

The previous prime is 332130222031211. The next prime is 332130222031241.

332130222031233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332130222031233 - 214 = 332130222014849 is a prime.

It is a super-2 number, since 2×3321302220312332 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332130222031233.

It is not an unprimeable number, because it can be changed into a prime (332130222031253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332865183 + ... + 333861483.

It is an arithmetic number, because the mean of its divisors is an integer number (7264404521136).

Almost surely, 2332130222031233 is an apocalyptic number.

It is an amenable number.

332130222031233 is a deficient number, since it is larger than the sum of its proper divisors (132791667321471).

332130222031233 is a wasteful number, since it uses less digits than its factorization.

332130222031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996826.

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 332130222031233 in words is "three hundred thirty-two trillion, one hundred thirty billion, two hundred twenty-two million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 41 73 123 137 219 271 411 813 2993 5617 8979 10001 11111 16851 19783 30003 33333 37127 59349 111381 410041 811103 996301 1230123 1522207 2433309 2710271 2988903 4566621 8130813 40848341 72729973 111121111 122545023 136493237 218189919 269997571 333363333 409479711 809992713 2981928893 5596222717 8945786679 9964006301 11069900411 16788668151 19709822683 29892018903 33209701233 36989667227 59129468049 110969001681 408524258341 808102730003 1225572775023 1516576356307 2424308190009 2700245707571 4549729068921 8100737122713 110710074010411 332130222031233