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13113210333312 = 273211382995081
BaseRepresentation
bin1011111011010010100000…
…1111100110100010000000
31201102121111011201100001100
42332310220033212202000
53204321323321131222
643520043050534400
72522253401510235
oct276645017464200
951377434640040
1013113210333312
1141a6310410831
121579517737400
1374175530131b
1433497b72378c
1517b18851e4ac
hexbed283e6880

13113210333312 has 48 divisors (see below), whose sum is σ = 37734628696830. Its totient is φ = 4371070110720.

The previous prime is 13113210333299. The next prime is 13113210333323. The reversal of 13113210333312 is 21333301231131.

13113210333312 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 2 + 10 + 333 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6576270451776 + 6536939881536 = 2564424^2 + 2556744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×131132103333122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5691496389 + ... + 5691498692.

Almost surely, 213113210333312 is an apocalyptic number.

13113210333312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113210333312 is an abundant number, since it is smaller than the sum of its proper divisors (24621418363518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13113210333312 is a wasteful number, since it uses less digits than its factorization.

13113210333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382995101 (or 11382995086 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13113210333312 its reverse (21333301231131), we get a palindrome (34446511564443).

The spelling of 13113210333312 in words is "thirteen trillion, one hundred thirteen billion, two hundred ten million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11382995081 22765990162 34148985243 45531980324 68297970486 91063960648 102446955729 136595940972 182127921296 204893911458 273191881944 364255842592 409787822916 546383763888 728511685184 819575645832 1092767527776 1457023370368 1639151291664 2185535055552 3278302583328 4371070111104 6556605166656 13113210333312