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13123011202032 = 2434143532925931
BaseRepresentation
bin1011111011110111000001…
…1010111100101111110000
31201110112210012210001102010
42332331300122330233300
53210001411331431112
643524343401322520
72523051310513434
oct276756032745760
951415705701363
1013123011202032
1141aa48a786536
12157b3b1a96440
13742657979a24
1433522b24c9c4
1517b55db9563c
hexbef706bcbf0

13123011202032 has 160 divisors (see below), whose sum is σ = 36206091161856. Its totient is φ = 4089747916800.

The previous prime is 13123011202019. The next prime is 13123011202057. The reversal of 13123011202032 is 23020211032131.

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, 3022107 + ... + 5948037.

Almost surely, 213123011202032 is an apocalyptic number.

13123011202032 is a gapful number since it is divisible by the number (12) 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 13123011202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103045580928).

13123011202032 is an abundant number, since it is smaller than the sum of its proper divisors (23083079959824).

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

13123011202032 is a wasteful number, since it uses less digits than its factorization.

13123011202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926079 (or 2926073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13123011202032 its reverse (23020211032131), we get a palindrome (36143222234163).

The spelling of 13123011202032 in words is "thirteen trillion, one hundred twenty-three billion, eleven million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 53 82 86 106 123 129 159 164 172 212 246 258 318 328 344 424 492 516 636 656 688 848 984 1032 1272 1763 1968 2064 2173 2279 2544 3526 4346 4558 5289 6519 6837 7052 8692 9116 10578 13038 13674 14104 17384 18232 21156 26076 27348 28208 34768 36464 42312 52152 54696 84624 93439 104304 109392 186878 280317 373756 560634 747512 1121268 1495024 2242536 2925931 4485072 5851862 8777793 11703724 17555586 23407448 35111172 46814896 70222344 119963171 125815033 140444688 155074343 239926342 251630066 310148686 359889513 377445099 465223029 479852684 503260132 620297372 719779026 754890198 930446058 959705368 1006520264 1240594744 1439558052 1509780396 1860892116 1919410736 2013040528 2481189488 2879116104 3019560792 3721784232 5158416353 5758232208 6039121584 6358048063 6668196749 7443568464 10316832706 12716096126 13336393498 15475249059 19074144189 20004590247 20633665412 25432192252 26672786996 30950498118 38148288378 40009180494 41267330824 50864384504 53345573992 61900996236 76296576756 80018360988 82534661648 101728769008 106691147984 123801992472 152593153512 160036721976 247603984944 273396066709 305186307024 320073443952 546792133418 820188200127 1093584266836 1640376400254 2187168533672 3280752800508 4374337067344 6561505601016 13123011202032