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1000032110022 = 231121471936407
BaseRepresentation
bin11101000110101101000…
…11110000010111000110
310112121020221211210011010
432203112203300113012
5112341031210010042
62043224114423050
7132151504453161
oct16432643602706
93477227753133
101000032110022
11356125067700
12141990891a86
13733c1b2c05a
143658a804ad8
151b02e4aa59c
hexe8d68f05c6

1000032110022 has 48 divisors (see below), whose sum is σ = 2199914551296. Its totient is φ = 302833700400.

The previous prime is 1000032109991. The next prime is 1000032110023. The reversal of 1000032110022 is 2200112300001.

1000032110022 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000032110023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599743 + ... + 1536149.

It is an arithmetic number, because the mean of its divisors is an integer number (45831553152).

Almost surely, 21000032110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000032110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099957275648).

1000032110022 is an abundant number, since it is smaller than the sum of its proper divisors (1199882441274).

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

1000032110022 is a wasteful number, since it uses less digits than its factorization.

1000032110022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937905 (or 937894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000032110022 its reverse (2200112300001), we get a palindrome (3200144410023).

The spelling of 1000032110022 in words is "one trillion, thirty-two million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1471 2942 4413 8826 16181 32362 48543 97086 177991 355982 533973 936407 1067946 1872814 2809221 5618442 10300477 20600954 30901431 61802862 113305247 226610494 339915741 679831482 1377454697 2754909394 4132364091 8264728182 15152001667 30304003334 45456005001 90912010002 166672018337 333344036674 500016055011 1000032110022