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12332120100331 = 19235322311092153
BaseRepresentation
bin1011001101110100101110…
…1000110100110111101011
31121122221100122122021211011
42303131023220310313223
53104022140221202311
642121144152244351
72411652301205263
oct263351350646753
947587318567734
1012332120100331
113a25028331969
12147206a0a06b7
136b5bb5bbb405
14308c409687a3
15165bc03e1321
hexb374ba34deb

12332120100331 has 64 divisors (see below), whose sum is σ = 13881988915200. Its totient is φ = 10900176528384.

The previous prime is 12332120100319. The next prime is 12332120100457. The reversal of 12332120100331 is 13300102123321.

It is a cyclic number.

It is not a de Polignac number, because 12332120100331 - 25 = 12332120100299 is a prime.

It is a super-2 number, since 2×123321201003312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12332120100931) 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, 5727876351 + ... + 5727878503.

It is an arithmetic number, because the mean of its divisors is an integer number (216906076800).

Almost surely, 212332120100331 is an apocalyptic number.

12332120100331 is a deficient number, since it is larger than the sum of its proper divisors (1549868814869).

12332120100331 is a wasteful number, since it uses less digits than its factorization.

12332120100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12332120100331 its reverse (13300102123321), we get a palindrome (25632222223652).

The spelling of 12332120100331 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty million, one hundred thousand, three hundred thirty-one".

Divisors: 1 19 23 53 223 437 1007 1109 1219 2153 4237 5129 11819 21071 23161 25507 40907 49519 58777 97451 114109 224561 247307 271837 480119 484633 940861 1116763 1351871 2168071 2387677 2624507 4698833 5164903 5688061 9122261 11042737 13107271 25446307 25685549 45365863 49865633 54916571 108073159 126546881 209812003 249038149 301467233 483479833 532451971 585265061 1043414849 2404390739 2910578263 5727877427 10116587449 11120036159 12246395333 28219954463 55300986997 232681511327 536179134797 649058952649 12332120100331