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12131402131340 = 225231091311846951
BaseRepresentation
bin1011000010001000111111…
…1010100010011110001100
31120221202021021101000000122
42300202033322202132030
53042230102421200330
641445031133444112
72361315311500232
oct260421772423614
946852237330018
1012131402131340
113957998268a68
12143b192040638
1369cca8c0b01b
142dd23d392952
15160873dea5e5
hexb088fea278c

12131402131340 has 96 divisors (see below), whose sum is σ = 27032284984320. Its totient is φ = 4563887328000.

The previous prime is 12131402131337. The next prime is 12131402131357. The reversal of 12131402131340 is 4313120413121.

It is a super-2 number, since 2×121314021313402 (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 31 ways as a sum of consecutive naturals, for example, 5644865 + ... + 7491815.

It is an arithmetic number, because the mean of its divisors is an integer number (281586301920).

Almost surely, 212131402131340 is an apocalyptic number.

12131402131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131402131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516142492160).

12131402131340 is an abundant number, since it is smaller than the sum of its proper divisors (14900882852980).

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

12131402131340 is a wasteful number, since it uses less digits than its factorization.

12131402131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847223 (or 1847221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 12131402131340 its reverse (4313120413121), we get a palindrome (16444522544461).

The spelling of 12131402131340 in words is "twelve trillion, one hundred thirty-one billion, four hundred two million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 131 218 230 262 436 460 524 545 655 1090 1310 2180 2507 2620 3013 5014 6026 10028 12052 12535 14279 15065 25070 28558 30130 50140 57116 60260 71395 142790 285580 328417 656834 1313668 1642085 1846951 3284170 3693902 6568340 7387804 9234755 18469510 36939020 42479873 84959746 169919492 201317659 212399365 241950581 402635318 424798730 483901162 805270636 849597460 967802324 1006588295 1209752905 2013176590 2419505810 4026353180 4630306157 4839011620 5564863363 9260612314 11129726726 18521224628 22259453452 23151530785 26372613329 27824316815 46303061570 52745226658 55648633630 92606123140 105490453316 111297267260 131863066645 263726133290 527452266580 606570106567 1213140213134 2426280426268 3032850532835 6065701065670 12131402131340