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1123002242232 = 2331367265720219
BaseRepresentation
bin10000010101111000001…
…001100101010010111000
310222100122221211202002020
4100111320021211102320
5121344402033222412
62215522231234440
7144064020363153
oct20257011452270
93870587752066
101123002242232
113a3298542042
1216178b218a20
1381b8b470bb0
143c4d43bac9a
151e32a0a518c
hex105782654b8

1123002242232 has 128 divisors (see below), whose sum is σ = 3069900691200. Its totient is φ = 340236914688.

The previous prime is 1123002242227. The next prime is 1123002242233. The reversal of 1123002242232 is 2322422003211.

It is a super-2 number, since 2×11230022422322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123002242233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55531819 + ... + 55552037.

It is an arithmetic number, because the mean of its divisors is an integer number (23983599150).

Almost surely, 21123002242232 is an apocalyptic number.

1123002242232 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 1123002242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534950345600).

1123002242232 is an abundant number, since it is smaller than the sum of its proper divisors (1946898448968).

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

1123002242232 is a wasteful number, since it uses less digits than its factorization.

1123002242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22965 (or 22961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1123002242232 its reverse (2322422003211), we get a palindrome (3445424245443).

It can be divided in two parts, 112300 and 2242232, that added together give a palindrome (2354532).

The spelling of 1123002242232 in words is "one trillion, one hundred twenty-three billion, two million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 402 536 804 871 1608 1742 2613 2657 3484 5226 5314 6968 7971 10452 10628 15942 20219 20904 21256 31884 34541 40438 60657 63768 69082 80876 103623 121314 138164 161752 178019 207246 242628 262847 276328 356038 414492 485256 525694 534057 712076 788541 828984 1051388 1068114 1354673 1424152 1577082 2102776 2136228 2314247 2709346 3154164 4064019 4272456 4628494 5418692 6308328 6942741 8128038 9256988 10837384 13885482 16256076 17610749 18513976 27770964 32512152 35221498 52832247 53721883 55541928 70442996 105664494 107443766 140885992 161165649 211328988 214887532 322331298 422657976 429775064 644662596 698384479 1289325192 1396768958 2095153437 2793537916 3599366161 4190306874 5587075832 7198732322 8380613748 10798098483 14397464644 16761227496 21596196966 28794929288 43192393932 46791760093 86384787864 93583520186 140375280279 187167040372 280750560558 374334080744 561501121116 1123002242232