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123013012401400 = 235211471189680971
BaseRepresentation
bin11011111110000100110010…
…111010000010110011111000
3121010112221002100011210101011
4123332010302322002303320
5112110421122133321100
61113343221525203304
734624253060056462
oct3376046272026370
9533487070153334
10123013012401400
1136217586615730
12119688b4b60534
135384100a81174
142253c0c1dd132
15e34cb644abba
hex6fe132e82cf8

123013012401400 has 96 divisors (see below), whose sum is σ = 318644151540480. Its totient is φ = 43780259696000.

The previous prime is 123013012401341. The next prime is 123013012401437. The reversal of 123013012401400 is 4104210310321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594737086 + ... + 594943885.

It is an arithmetic number, because the mean of its divisors is an integer number (3319209911880).

Almost surely, 2123013012401400 is an apocalyptic number.

123013012401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013012401400 is an abundant number, since it is smaller than the sum of its proper divisors (195631139139080).

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

123013012401400 is a wasteful number, since it uses less digits than its factorization.

123013012401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189681045 (or 1189681036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 123013012401400 its reverse (4104210310321), we get a palindrome (127117222711721).

The spelling of 123013012401400 in words is "one hundred twenty-three trillion, thirteen billion, twelve million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 1189680971 2379361942 4758723884 5948404855 9517447768 11896809710 13086490681 23793619420 26172981362 29742024275 47587238840 52345962724 55915005637 59484048550 65432453405 104691925448 111830011274 118968097100 130864906810 223660022548 237936194200 261729813620 279575028185 327162267025 447320045096 523459627240 559150056370 615065062007 654324534050 1118300112740 1230130124014 1308649068100 1397875140925 2236600225480 2460260248028 2617298136200 2795750281850 3075325310035 4920520496056 5591500563700 6150650620070 11183001127400 12301301240140 15376626550175 24602602480280 30753253100350 61506506200700 123013012401400