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112001021022 = 231131144737831
BaseRepresentation
bin110100001001111000…
…1111111010001011110
3101201002112200101011210
41220103301333101132
53313334230133042
6123241430325250
711043326653662
oct1502361772136
9351075611153
10112001021022
11435547248a0
1219858ab9826
13a73bc40c07
1455c6c668a2
152da7b0ca9c
hex1a13c7f45e

112001021022 has 64 divisors (see below), whose sum is σ = 252429631488. Its totient is φ = 32821308000.

The previous prime is 112001020949. The next prime is 112001021023. The reversal of 112001021022 is 220120100211.

It is a junction number, because it is equal to n+sod(n) for n = 112001020989 and 112001021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001021023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941647 + ... + 2979477.

It is an arithmetic number, because the mean of its divisors is an integer number (3944212992).

Almost surely, 2112001021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126214815744).

112001021022 is an abundant number, since it is smaller than the sum of its proper divisors (140428610466).

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

112001021022 is a wasteful number, since it uses less digits than its factorization.

112001021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39325.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112001021022 its reverse (220120100211), we get a palindrome (332121121233).

The spelling of 112001021022 in words is "one hundred twelve billion, one million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1447 2046 2894 4341 8682 15917 31834 37831 44857 47751 75662 89714 95502 113493 134571 226986 269142 416141 493427 832282 986854 1172761 1248423 1480281 2345522 2496846 2960562 3518283 7036566 12900371 25800742 38701113 54741457 77402226 109482914 164224371 328448742 602156027 1204312054 1696985167 1806468081 3393970334 3612936162 5090955501 10181911002 18666836837 37333673674 56000510511 112001021022