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332001113022103 = 71923791843374531
BaseRepresentation
bin100101101111101000000100…
…0011010000001111010010111
31121112111222220101211120121011
41023133100020122001322113
5322004001234413201403
63134035112240233051
7126634201036204630
oct11337201032017227
91545458811746534
10332001113022103
1196870977060338
12312a005900b787
1311333755868395
145bdad22400887
15285b19e1bea6d
hex12df408681e97

332001113022103 has 64 divisors (see below), whose sum is σ = 422069111193600. Its totient is φ = 254591923322880.

The previous prime is 332001113022101. The next prime is 332001113022109. The reversal of 332001113022103 is 301220311100233.

It is a cyclic number.

It is not a de Polignac number, because 332001113022103 - 21 = 332001113022101 is a prime.

It is a super-2 number, since 2×3320011130221032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332001113022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4454499948 + ... + 4454574478.

It is an arithmetic number, because the mean of its divisors is an integer number (6594829862400).

Almost surely, 2332001113022103 is an apocalyptic number.

332001113022103 is a deficient number, since it is larger than the sum of its proper divisors (90067998171497).

332001113022103 is a wasteful number, since it uses less digits than its factorization.

332001113022103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93092.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 332001113022103 its reverse (301220311100233), we get a palindrome (633221424122336).

The spelling of 332001113022103 in words is "three hundred thirty-two trillion, one billion, one hundred thirteen million, twenty-two thousand, one hundred three".

Divisors: 1 7 19 23 79 133 161 437 553 1501 1817 3059 10507 12719 18433 34523 74531 129031 241661 350227 423959 521717 1416089 1456207 1714213 2451589 2967713 5887949 8055221 9912623 10193449 11999491 27667933 32570047 33492761 41215643 56386547 111871031 135422827 193675531 227990329 234449327 636362459 783097217 947959789 1373829923 2573033713 4454537213 9616809461 18011235991 26102768537 31598088229 108532563917 182719379759 221186617603 600363676351 759727947419 2062118714423 2496248970091 4202545734457 14434831000961 17473742790637 47428730431729 332001113022103