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10111123203132 = 2237414796129157
BaseRepresentation
bin1001001100100010110111…
…1010000010010000111100
31022210121120120010212020110
42103020231322002100330
52311130040020000012
633300552540550020
72062335026110410
oct223105572022074
938717516125213
1010111123203132
1132491154a7286
12117372a852310
1358462326b463
1426d549570d40
1512803095673c
hex9322de8243c

10111123203132 has 96 divisors (see below), whose sum is σ = 27678296862720. Its totient is φ = 2812547105280.

The previous prime is 10111123203043. The next prime is 10111123203151. The reversal of 10111123203132 is 23130232111101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10111123203099 and 10111123203108.

It is a congruent number.

It is an unprimeable number.

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, 1414903 + ... + 4714254.

It is an arithmetic number, because the mean of its divisors is an integer number (288315592320).

Almost surely, 210111123203132 is an apocalyptic number.

10111123203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111123203132 is an abundant number, since it is smaller than the sum of its proper divisors (17567173659588).

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

10111123203132 is a wasteful number, since it uses less digits than its factorization.

10111123203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129691 (or 6129689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10111123203132 its reverse (23130232111101), we get a palindrome (33241355314233).

The spelling of 10111123203132 in words is "ten trillion, one hundred eleven billion, one hundred twenty-three million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 479 492 574 861 958 1148 1437 1722 1916 2874 3353 3444 5748 6706 10059 13412 19639 20118 39278 40236 58917 78556 117834 137473 235668 274946 412419 549892 824838 1649676 6129157 12258314 18387471 24516628 36774942 42904099 73549884 85808198 128712297 171616396 251295437 257424594 502590874 514849188 753886311 1005181748 1507772622 1759068059 2935866203 3015545244 3518136118 5277204177 5871732406 7036272236 8807598609 10554408354 11743464812 17615197218 20551063421 21108816708 35230394436 41102126842 61653190263 82204253684 120370514323 123306380526 240741028646 246612761052 361111542969 481482057292 722223085938 842593600261 1444446171876 1685187200522 2527780800783 3370374401044 5055561601566 10111123203132