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1322033032012 = 2271123994118773
BaseRepresentation
bin10011001111001111010…
…011110010101101001100
311200101101202101110002211
4103033033103302231030
5133130010424011022
62451200020000204
7164341132234330
oct23171723625514
94611352343084
101322033032012
1146a7421aa260
12194276230064
1397889a434a4
1447db58877c0
15245c83cae77
hex133cf4f2b4c

1322033032012 has 96 divisors (see below), whose sum is σ = 3010309069824. Its totient is φ = 492607315200.

The previous prime is 1322033032007. The next prime is 1322033032013. The reversal of 1322033032012 is 2102303302231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1322033032013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70412658 + ... + 70431430.

It is an arithmetic number, because the mean of its divisors is an integer number (31357386144).

Almost surely, 21322033032012 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 1322033032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505154534912).

1322033032012 is an abundant number, since it is smaller than the sum of its proper divisors (1688276037812).

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

1322033032012 is a wasteful number, since it uses less digits than its factorization.

1322033032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28759 (or 28757 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1322033032012 its reverse (2102303302231), we get a palindrome (3424336334243).

The spelling of 1322033032012 in words is "one trillion, three hundred twenty-two billion, thirty-three million, thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084 9941 18773 19882 37546 39764 69587 75092 109351 131411 139174 206503 218702 228643 262822 278348 413006 431779 437404 457286 525644 765457 826012 863558 914572 1445521 1530914 1600501 1727116 2515073 2891042 3022453 3061828 3201002 4749569 5030146 5782084 6044906 6402004 9499138 10060292 12089812 17605511 18998276 33246983 35211022 66493966 70422044 132987932 186622393 373244786 746489572 1306356751 2052846323 2612713502 4105692646 4292315039 5225427004 8211385292 8584630078 14369924261 17169260156 28739848522 30046205273 47215465429 57479697044 60092410546 94430930858 120184821092 188861861716 330508258003 661016516006 1322033032012