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1321441155252 = 2232291936919491
BaseRepresentation
bin10011001110101100000…
…001111101100010110100
311200022212111122222211100
4103032230001331202310
5133122302413432002
62451021154010100
7164320354330161
oct23165401754264
94608774588740
101321441155252
1146a46909a509
1219412bb76930
13977c423015a
1447d5b017068
152459146511c
hex133ac07d8b4

1321441155252 has 144 divisors (see below), whose sum is σ = 3478789903680. Its totient is φ = 422431027200.

The previous prime is 1321441155227. The next prime is 1321441155257. The reversal of 1321441155252 is 2525511441231.

1321441155252 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 44 + 11 + 552 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321441155257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139226227 + ... + 139235717.

It is an arithmetic number, because the mean of its divisors is an integer number (24158263220).

Almost surely, 21321441155252 is an apocalyptic number.

1321441155252 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 1321441155252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739394951840).

1321441155252 is an abundant number, since it is smaller than the sum of its proper divisors (2157348748428).

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

1321441155252 is a wasteful number, since it uses less digits than its factorization.

1321441155252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10409 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

Adding to 1321441155252 its reverse (2525511441231), we get a palindrome (3846952596483).

The spelling of 1321441155252 in words is "one trillion, three hundred twenty-one billion, four hundred forty-one million, one hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 193 261 348 386 522 579 691 772 1044 1158 1382 1737 2073 2316 2764 3474 4146 5597 6219 6948 8292 9491 11194 12438 16791 18982 20039 22388 24876 28473 33582 37964 40078 50373 56946 60117 67164 80156 85419 100746 113892 120234 133363 170838 180351 201492 240468 266726 275239 341676 360702 400089 533452 550478 721404 800178 825717 1100956 1200267 1600356 1651434 1831763 2400534 2477151 3302868 3663526 3867527 4801068 4954302 5495289 6558281 7327052 7735054 9908604 10990578 11602581 13116562 15470108 16485867 19674843 21981156 23205162 26233124 32971734 34807743 39349686 46410324 53121127 59024529 65943468 69615486 78699372 106242254 118049058 139230972 159363381 190190149 212484508 236098116 318726762 380380298 478090143 570570447 637453524 760760596 956180286 1141140894 1265748233 1711711341 1912360572 2282281788 2531496466 3423422682 3797244699 5062992932 6846845364 7594489398 11391734097 15188978796 22783468194 36706698757 45566936388 73413397514 110120096271 146826795028 220240192542 330360288813 440480385084 660720577626 1321441155252