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13114402200312 = 2337293797102349
BaseRepresentation
bin1011111011010110111101…
…0010001101101011111000
31201102201120020102110012120
42332311233102031223320
53204331243430402222
643520401224441240
72522325053303160
oct276655722155370
951381506373176
1013114402200312
1141a6872172086
1215797aa919220
137418b520897a
14334a51b375a0
1517b207ea015c
hexbed6f48daf8

13114402200312 has 128 divisors (see below), whose sum is σ = 38864059200000. Its totient is φ = 3608220059136.

The previous prime is 13114402200287. The next prime is 13114402200337. The reversal of 13114402200312 is 21300220441131.

It is an interprime number because it is at equal distance from previous prime (13114402200287) and next prime (13114402200337).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1704687 + ... + 5397662.

It is an arithmetic number, because the mean of its divisors is an integer number (303625462500).

Almost surely, 213114402200312 is an apocalyptic number.

13114402200312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114402200312 is an abundant number, since it is smaller than the sum of its proper divisors (25749656999688).

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

13114402200312 is a wasteful number, since it uses less digits than its factorization.

13114402200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102773 (or 7102769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13114402200312 its reverse (21300220441131), we get a palindrome (34414622641443).

The spelling of 13114402200312 in words is "thirteen trillion, one hundred fourteen billion, four hundred two million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 379 406 609 696 758 812 1137 1218 1516 1624 2274 2436 2653 3032 4548 4872 5306 7959 9096 10612 10991 15918 21224 21982 31836 32973 43964 63672 65946 76937 87928 131892 153874 230811 263784 307748 461622 615496 923244 1846488 7102349 14204698 21307047 28409396 42614094 49716443 56818792 85228188 99432886 149149329 170456376 198865772 205968121 298298658 397731544 411936242 596597316 617904363 823872484 1193194632 1235808726 1441776847 1647744968 2471617452 2691790271 2883553694 4325330541 4943234904 5383580542 5767107388 8075370813 8650661082 10767161084 11534214776 16150741626 17301322164 18842531897 21534322168 32301483252 34602644328 37685063794 56527595691 64602966504 75370127588 78061917859 113055191382 150740255176 156123835718 226110382764 234185753577 312247671436 452220765528 468371507154 546433425013 624495342872 936743014308 1092866850026 1639300275039 1873486028616 2185733700052 3278600550078 4371467400104 6557201100156 13114402200312