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1331313002032 = 241326113161613
BaseRepresentation
bin10011010111111000011…
…100000100011000110000
311201021100111021202210011
4103113320130010120300
5133303012112031112
62455332521544304
7165120114542446
oct23277034043060
94637314252704
101331313002032
11473674534072
12196026045094
13987084ca600
144861613ab96
152496ce5baa7
hex135f8704630

1331313002032 has 120 divisors (see below), whose sum is σ = 2860604440848. Its totient is φ = 599755852800.

The previous prime is 1331313001987. The next prime is 1331313002083. The reversal of 1331313002032 is 2302003131331.

It is a super-2 number, since 2×13313130020322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331313001994 and 1331313002012.

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, 21576858 + ... + 21638470.

Almost surely, 21331313002032 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 1331313002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430302220424).

1331313002032 is an abundant number, since it is smaller than the sum of its proper divisors (1529291438816).

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

1331313002032 is a wasteful number, since it uses less digits than its factorization.

1331313002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61839 (or 61820 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1331313002032 its reverse (2302003131331), we get a palindrome (3633316133363).

The spelling of 1331313002032 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 131 169 208 244 262 338 488 524 676 793 976 1048 1352 1586 1703 2096 2704 3172 3406 6344 6812 7991 10309 12688 13624 15982 20618 22139 27248 31964 41236 44278 61613 63928 82472 88556 103883 123226 127856 164944 177112 207766 246452 354224 415532 492904 800969 831064 985808 1350479 1601938 1662128 2700958 3203876 3758393 5401916 6407752 7516786 8071303 10412597 10803832 12815504 15033572 16142606 20825194 21607664 30067144 32285212 41650388 48859109 60134288 64570424 83300776 97718218 104926939 129140848 166601552 195436436 209853878 390872872 419707756 492349483 635168417 781745744 839415512 984698966 1270336834 1364050207 1678831024 1969397932 2540673668 2728100414 3938795864 5081347336 5456200828 6400543279 7877591728 10162694672 10912401656 12801086558 21824803312 25602173116 51204346232 83207062627 102408692464 166414125254 332828250508 665656501016 1331313002032