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1335312401232 = 243415631205173
BaseRepresentation
bin10011011011100110110…
…100100100001101010000
311201122200012212022002110
4103123212310210031100
5133334204433314412
62501233430545320
7165321200064435
oct23334664441520
94648605768073
101335312401232
11475337047967
12196961508240
1398bc4c6b704
14488b5375b8c
1524b04113d3c
hex136e6d24350

1335312401232 has 80 divisors (see below), whose sum is σ = 3539972052288. Its totient is φ = 433476264960.

The previous prime is 1335312401179. The next prime is 1335312401233. The reversal of 1335312401232 is 2321042135331.

It is a self number, because there is not a number n which added to its sum of digits gives 1335312401232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335312401233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505398 + ... + 1710570.

Almost surely, 21335312401232 is an apocalyptic number.

1335312401232 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 1335312401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769986026144).

1335312401232 is an abundant number, since it is smaller than the sum of its proper divisors (2204659651056).

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

1335312401232 is a wasteful number, since it uses less digits than its factorization.

1335312401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205788 (or 1205782 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1335312401232 its reverse (2321042135331), we get a palindrome (3656354536563).

The spelling of 1335312401232 in words is "one trillion, three hundred thirty-five billion, three hundred twelve million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 563 656 984 1126 1689 1968 2252 3378 4504 6756 9008 13512 23083 27024 46166 69249 92332 138498 184664 276996 369328 553992 1107984 1205173 2410346 3615519 4820692 7231038 9641384 14462076 19282768 28924152 49412093 57848304 98824186 148236279 197648372 296472558 395296744 592945116 678512399 790593488 1185890232 1357024798 2035537197 2371780464 2714049596 4071074394 5428099192 8142148788 10856198384 16284297576 27819008359 32568595152 55638016718 83457025077 111276033436 166914050154 222552066872 333828100308 445104133744 667656200616 1335312401232