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332013300311031 = 31743271997560341
BaseRepresentation
bin100101101111101101101111…
…0110100110110001111110111
31121112120011100202101000001120
41023133123132310312033313
5322004201214334423111
63134044445440155023
7126635112043355343
oct11337333664661767
91545504322330046
10332013300311031
1196876060502949
12312a249a608a73
1311334948756651
145bdb75ac52623
15285b6640d8406
hex12df6ded363f7

332013300311031 has 64 divisors (see below), whose sum is σ = 481878771111936. Its totient is φ = 202522834483200.

The previous prime is 332013300311029. The next prime is 332013300311041. The reversal of 332013300311031 is 130113003310233.

It is not a de Polignac number, because 332013300311031 - 21 = 332013300311029 is a prime.

It is a super-2 number, since 2×3320133003110312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332013300310992 and 332013300311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013300311041) 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, 592239921 + ... + 592800261.

It is an arithmetic number, because the mean of its divisors is an integer number (7529355798624).

Almost surely, 2332013300311031 is an apocalyptic number.

332013300311031 is a deficient number, since it is larger than the sum of its proper divisors (149865470800905).

332013300311031 is a wasteful number, since it uses less digits than its factorization.

332013300311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561672.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 332013300311031 its reverse (130113003310233), we get a palindrome (462126303621264).

The spelling of 332013300311031 in words is "three hundred thirty-two trillion, thirteen billion, three hundred million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 17 43 51 129 271 731 813 997 2193 2991 4607 11653 13821 16949 34959 42871 50847 128613 198101 270187 560341 594303 728807 810561 1681023 2186421 4593179 9525797 11618041 13779537 24094663 28577391 34854123 72283989 151852411 197506697 409609271 455557233 558659977 592520091 1228827813 1675979931 2581490987 6529653673 7744472961 9497219609 19588961019 24022379011 28491658827 72067137033 111004112441 151396853767 333012337323 408380443187 454190561301 1225141329561 2573746514039 6510064711981 7721239542117 19530194135943 110671100103677 332013300311031