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1332213222032 = 247118938331723
BaseRepresentation
bin10011011000101110000…
…110001000101010010000
311201100200020012200110122
4103120232012020222100
5133311333041101112
62500002120445412
7165151325355530
oct23305606105220
94640606180418
101332213222032
11473a966a6740
12196237619868
139881cb70174
144869d9134c0
15249c1ecd872
hex1362e188a90

1332213222032 has 160 divisors (see below), whose sum is σ = 3262831165440. Its totient is φ = 511856040960.

The previous prime is 1332213222031. The next prime is 1332213222073. The reversal of 1332213222032 is 2302223122331.

It is a junction number, because it is equal to n+sod(n) for n = 1332213221992 and 1332213222010.

It is not an unprimeable number, because it can be changed into a prime (1332213222031) 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, 41979323 + ... + 42011045.

It is an arithmetic number, because the mean of its divisors is an integer number (20392694784).

Almost surely, 21332213222032 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 1332213222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631415582720).

1332213222032 is an abundant number, since it is smaller than the sum of its proper divisors (1930617943408).

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

1332213222032 is a wasteful number, since it uses less digits than its factorization.

1332213222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32221 (or 32215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1332213222032 its reverse (2302223122331), we get a palindrome (3634436344363).

The spelling of 1332213222032 in words is "one trillion, three hundred thirty-two billion, two hundred thirteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 383 616 623 712 766 979 1232 1246 1424 1532 1958 2492 2681 3064 3916 4213 4984 5362 6128 6853 7832 8426 9968 10724 13706 15664 16852 21448 27412 29491 31723 33704 34087 42896 54824 58982 63446 67408 68174 109648 117964 126892 136348 222061 235928 238609 253784 272696 348953 374957 444122 471856 477218 507568 545392 697906 749914 888244 954436 1395812 1499828 1776488 1908872 2442671 2624699 2791624 2823347 2999656 3552976 3817744 4885342 5249398 5583248 5646694 5999312 9770684 10498796 11293388 12149909 19541368 19763429 20997592 22586776 24299818 31056817 39082736 39526858 41995184 45173552 48599636 62113634 79053716 85049363 97199272 124227268 133648999 158107432 170098726 194398544 217397719 248454536 267297998 316214864 340197452 434795438 496909072 534595996 680394904 869590876 935542993 1069191992 1081341901 1360789808 1739181752 1871085986 2138383984 2162683802 3478363504 3742171972 4325367604 7484343944 7569393307 8650735208 11894760911 14968687888 15138786614 17301470416 23789521822 30277573228 47579043644 60555146456 83263326377 95158087288 121110292912 166526652754 190316174576 333053305508 666106611016 1332213222032