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123032130331242 = 231131353727234317
BaseRepresentation
bin11011111110010110100110…
…011011001010001001101010
3121010121202102200221020211210
4123332112212123022021222
5112111224300331044432
61113400102544533550
734625530611562326
oct3376264633121152
9533552380836753
10123032130331242
11362246a7149350
121197054b6212b6
135385b5979c4a2
142254b032b4986
15e35534a2c8cc
hex6fe5a66ca26a

123032130331242 has 128 divisors (see below), whose sum is σ = 278261270396928. Its totient is φ = 35927953459200.

The previous prime is 123032130331213. The next prime is 123032130331249. The reversal of 123032130331242 is 242133031230321.

It is not an unprimeable number, because it can be changed into a prime (123032130331249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524949868 + ... + 525184184.

It is an arithmetic number, because the mean of its divisors is an integer number (2173916174976).

Almost surely, 2123032130331242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123032130331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139130635198464).

123032130331242 is an abundant number, since it is smaller than the sum of its proper divisors (155229140065686).

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

123032130331242 is a wasteful number, since it uses less digits than its factorization.

123032130331242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235444.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123032130331242 its reverse (242133031230321), we get a palindrome (365165161561563).

The spelling of 123032130331242 in words is "one hundred twenty-three trillion, thirty-two billion, one hundred thirty million, three hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 353 682 706 727 1023 1059 1454 2046 2118 2181 3883 4362 7766 7997 10943 11649 15994 21886 22537 23298 23991 32829 45074 47982 65658 67611 120373 135222 234317 240746 247907 256631 361119 468634 495814 513262 702951 722238 743721 769893 1405902 1487442 1539786 2577487 2822941 5154974 5645882 7263827 7732461 7955561 8468823 14527654 15464922 15911122 16937646 21791481 23866683 43582962 47733366 79902097 82713901 87511171 159804194 165427802 170348459 175022342 239706291 248141703 262533513 340696918 479412582 496283406 511045377 525067026 909852911 1022090754 1819705822 1873833049 2564130931 2729558733 3747666098 5128261862 5280802229 5459117466 5621499147 7692392793 10561604458 11242998294 15384785586 15842406687 28205440241 31684813374 56410880482 58088824519 60133006027 84616320723 116177649038 120266012054 169232641446 174266473557 180399018081 348532947114 360798036162 661463066297 1322926132594 1864123186837 1984389198891 3728246373674 3968778397782 5592369560511 11184739121022 20505355055207 41010710110414 61516065165621 123032130331242