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1321213450152 = 2331929791264687
BaseRepresentation
bin10011001110011110011…
…101010101011110101000
311200022021122012101011010
4103032132131111132220
5133121321120401102
62450542421303520
7164311621013001
oct23163635253650
94608248171133
101321213450152
1146a361604282
12194087864ba0
1397788cc55cb
1447d38aa21a8
152457b486d6c
hex1339e7557a8

1321213450152 has 128 divisors (see below), whose sum is σ = 3642301440000. Its totient is φ = 397738688256.

The previous prime is 1321213450147. The next prime is 1321213450157. The reversal of 1321213450152 is 2510543121231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1321213450147) and next prime (1321213450157).

It is not an unprimeable number, because it can be changed into a prime (1321213450157) 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, 412353 + ... + 1677039.

It is an arithmetic number, because the mean of its divisors is an integer number (28455480000).

Almost surely, 21321213450152 is an apocalyptic number.

1321213450152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321213450152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821150720000).

1321213450152 is an abundant number, since it is smaller than the sum of its proper divisors (2321087989848).

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

1321213450152 is a wasteful number, since it uses less digits than its factorization.

1321213450152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264823 (or 1264819 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1321213450152 its reverse (2510543121231), we get a palindrome (3831756571383).

The spelling of 1321213450152 in words is "one trillion, three hundred twenty-one billion, two hundred thirteen million, four hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 79 87 114 116 152 158 174 228 232 237 316 348 456 474 551 632 696 948 1102 1501 1653 1896 2204 2291 3002 3306 4408 4503 4582 6004 6612 6873 9006 9164 12008 13224 13746 18012 18328 27492 36024 43529 54984 87058 130587 174116 261174 348232 522348 1044696 1264687 2529374 3794061 5058748 7588122 10117496 15176244 24029053 30352488 36675923 48058106 72087159 73351846 96116212 99910273 110027769 144174318 146703692 192232424 199820546 220055538 288348636 293407384 299730819 399641092 440111076 576697272 599461638 696842537 799282184 880222152 1198923276 1393685074 1898295187 2090527611 2397846552 2787370148 2897397917 3796590374 4181055222 5574740296 5694885561 5794795834 7593180748 8362110444 8692193751 11389771122 11589591668 15186361496 16724220888 17384387502 22779542244 23179183336 34768775004 45559084488 55050560423 69537550008 110101120846 165151681269 220202241692 330303362538 440404483384 660606725076 1321213450152