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13114213123242 = 23711193627723431
BaseRepresentation
bin1011111011010110010000…
…0000111100010010101010
31201102201002001122100020010
42332311210000330102222
53204330402024420432
643520330352112350
72522320266211110
oct276654400742252
951381061570203
1013114213123242
1141a678546a740
1215797575356b6
13741884ca734a
14334a34999ab0
1517b1e65a23cc
hexbed6403c4aa

13114213123242 has 128 divisors (see below), whose sum is σ = 32876447182848. Its totient is φ = 3387955507200.

The previous prime is 13114213123211. The next prime is 13114213123259. The reversal of 13114213123242 is 24232131241131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559683267 + ... + 559706697.

It is an arithmetic number, because the mean of its divisors is an integer number (256847243616).

Almost surely, 213114213123242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114213123242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438223591424).

13114213123242 is an abundant number, since it is smaller than the sum of its proper divisors (19762234059606).

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

13114213123242 is a wasteful number, since it uses less digits than its factorization.

13114213123242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29924.

The product of its digits is 6912, while the sum is 30.

Adding to 13114213123242 its reverse (24232131241131), we get a palindrome (37346344364373).

The spelling of 13114213123242 in words is "thirteen trillion, one hundred fourteen billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 193 231 386 462 579 1158 1351 2123 2702 4053 4246 6277 6369 8106 12554 12738 14861 18831 23431 29722 37662 43939 44583 46862 69047 70293 87878 89166 131817 138094 140586 164017 207141 257741 263634 328034 414282 483329 492051 515482 773223 966658 984102 1211461 1449987 1546446 1804187 2422922 2899974 3608374 3634383 4522183 5412561 7268766 8480227 9044366 10825122 13326071 13566549 16960454 25440681 26652142 27133098 31655281 39978213 49744013 50881362 63310562 79956426 93282497 94965843 99488026 147076387 149232039 186564994 189931686 279847491 294152774 298464078 348208091 441229161 559694982 696416182 882458322 1029534709 1044624273 1617840257 2059069418 2089248546 3088604127 3235680514 4853520771 6177208254 9707041542 11324881799 22649763598 28385742691 33974645397 56771485382 67949290794 85157228073 170314456146 198700198837 312243169601 397400397674 596100596511 624486339202 936729508803 1192201193022 1873459017606 2185702187207 4371404374414 6557106561621 13114213123242