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2031222133032 = 2332343439194933
BaseRepresentation
bin11101100011101110010…
…001100001000100101000
321012011221100210112200120
4131203232101201010220
5231234420331224112
64153044111403240
7266515402154001
oct35435621410450
97164840715616
102031222133032
11713488a38514
122897b8223520
1311970ab9cbc1
147045134a1a8
1537c84064e8c
hex1d8ee461128

2031222133032 has 128 divisors (see below), whose sum is σ = 5434448025600. Its totient is φ = 631130556672.

The previous prime is 2031222132997. The next prime is 2031222133037. The reversal of 2031222133032 is 2303312221302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2031222132993 and 2031222133011.

It is not an unprimeable number, because it can be changed into a prime (2031222133037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10322638 + ... + 10517570.

It is an arithmetic number, because the mean of its divisors is an integer number (42456625200).

Almost surely, 22031222133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031222133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717224012800).

2031222133032 is an abundant number, since it is smaller than the sum of its proper divisors (3403225892568).

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

2031222133032 is a wasteful number, since it uses less digits than its factorization.

2031222133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195447 (or 195443 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2031222133032 its reverse (2303312221302), we get a palindrome (4334534354334).

The spelling of 2031222133032 in words is "two trillion, thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 439 516 552 878 989 1032 1317 1756 1978 2634 2967 3512 3956 5268 5934 7912 10097 10536 11868 18877 20194 23736 30291 37754 40388 56631 60582 75508 80776 113262 121164 151016 194933 226524 242328 389866 434171 453048 584799 779732 868342 1169598 1302513 1559464 1736684 2339196 2605026 3473368 4483459 4678392 5210052 8382119 8966918 10420104 13450377 16764238 17933836 25146357 26900754 33528476 35867672 50292714 53801508 67056952 85575587 100585428 107603016 171151174 192788737 201170856 256726761 342302348 385577474 513453522 578366211 684604696 771154948 1026907044 1156732422 1542309896 1968238501 2053814088 2313464844 3679750241 3936477002 4626929688 5904715503 7359500482 7872954004 11039250723 11809431006 14719000964 15745908008 22078501446 23618862012 29438001928 44157002892 47237724024 84634255543 88314005784 169268511086 253902766629 338537022172 507805533258 677074044344 1015611066516 2031222133032