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13111156632 = 2337791019781
BaseRepresentation
bin11000011010111110…
…00101111110011000
31020211201221202200210
430031133011332120
5203322424003012
610005001331120
7642622664310
oct141537057630
936751852623
1013111156632
1156189a7042
12265aa96aa0
13130c420662
148c5422440
1551b0ac23c
hex30d7c5f98

13111156632 has 128 divisors (see below), whose sum is σ = 38314137600. Its totient is φ = 3661632000.

The previous prime is 13111156631. The next prime is 13111156633. The reversal of 13111156632 is 23665111131.

It is an interprime number because it is at equal distance from previous prime (13111156631) and next prime (13111156633).

It is a self number, because there is not a number n which added to its sum of digits gives 13111156632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111156631) 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 31 ways as a sum of consecutive naturals, for example, 1335582 + ... + 1345362.

It is an arithmetic number, because the mean of its divisors is an integer number (299329200).

Almost surely, 213111156632 is an apocalyptic number.

13111156632 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 13111156632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157068800).

13111156632 is an abundant number, since it is smaller than the sum of its proper divisors (25202980968).

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

13111156632 is a wasteful number, since it uses less digits than its factorization.

13111156632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9973 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

Adding to 13111156632 its reverse (23665111131), we get a palindrome (36776267763).

The spelling of 13111156632 in words is "thirteen billion, one hundred eleven million, one hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 101 158 168 202 237 303 316 404 474 553 606 632 707 808 948 1106 1212 1414 1659 1896 2121 2212 2424 2828 3318 4242 4424 5656 6636 7979 8484 9781 13272 15958 16968 19562 23937 29343 31916 39124 47874 55853 58686 63832 68467 78248 95748 111706 117372 136934 167559 191496 205401 223412 234744 273868 335118 410802 446824 547736 670236 772699 821604 987881 1340472 1545398 1643208 1975762 2318097 2963643 3090796 3951524 4636194 5408893 5927286 6181592 6915167 7903048 9272388 10817786 11854572 13830334 16226679 18544776 20745501 21635572 23709144 27660668 32453358 41491002 43271144 55321336 64906716 78042599 82982004 129813432 156085198 165964008 234127797 312170396 468255594 546298193 624340792 936511188 1092596386 1638894579 1873022376 2185192772 3277789158 4370385544 6555578316 13111156632