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123032131320 = 23357712062913
BaseRepresentation
bin111001010010101001…
…0010101011011111000
3102202120022122211201110
41302211102111123320
54003432211200240
6132304205320320
711613564601260
oct1624522253370
9382508584643
10123032131320
11481a548127a
121ba172660a0
13b7a943ba07
145d51d147a0
153301294c80
hex1ca54956f8

123032131320 has 128 divisors (see below), whose sum is σ = 427765847040. Its totient is φ = 27725537280.

The previous prime is 123032131307. The next prime is 123032131367. The reversal of 123032131320 is 23131230321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971817 + ... + 1091096.

It is an arithmetic number, because the mean of its divisors is an integer number (3341920680).

Almost surely, 2123032131320 is an apocalyptic number.

123032131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123032131320 is an abundant number, since it is smaller than the sum of its proper divisors (304733715720).

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

123032131320 is a wasteful number, since it uses less digits than its factorization.

123032131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063005 (or 2063001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123032131320 its reverse (23131230321), we get a palindrome (146163361641).

Subtracting from 123032131320 its reverse (23131230321), we obtain a palindrome (99900900999).

The spelling of 123032131320 in words is "one hundred twenty-three billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3976 4260 4970 5964 7455 8520 9940 11928 14910 19880 29820 59640 2062913 4125826 6188739 8251652 10314565 12377478 14440391 16503304 20629130 24754956 28880782 30943695 41258260 43321173 49509912 57761564 61887390 72201955 82516520 86642346 115523128 123774780 144403910 146466823 173284692 216605865 247549560 288807820 292933646 346569384 433211730 439400469 577615640 585867292 732334115 866423460 878800938 1025267761 1171734584 1464668230 1732846920 1757601876 2050535522 2197002345 2929336460 3075803283 3515203752 4101071044 4394004690 5126338805 5858672920 6151606566 8202142088 8788009380 10252677610 12303213132 15379016415 17576018760 20505355220 24606426264 30758032830 41010710440 61516065660 123032131320