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2211112013032 = 2313371601358909
BaseRepresentation
bin100000001011010000100…
…010111100110011101000
321211101021012100021200201
4200023100202330303220
5242211324133404112
64411434300041544
7315514263002356
oct40132042746350
97741235307621
102211112013032
117828000a692a
122b8640b332b4
13130678a69590
147903867c7d6
153c7b1c6a257
hex202d08bcce8

2211112013032 has 64 divisors (see below), whose sum is σ = 4588291083600. Its totient is φ = 992308838400.

The previous prime is 2211112012981. The next prime is 2211112013051. The reversal of 2211112013032 is 2303102111122.

It can be written as a sum of positive squares in 8 ways, for example, as 2198262883716 + 12849129316 = 1482654^2 + 113354^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5981194 + ... + 6340102.

Almost surely, 22211112013032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211112013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294145541800).

2211112013032 is an abundant number, since it is smaller than the sum of its proper divisors (2377179070568).

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

2211112013032 is a wasteful number, since it uses less digits than its factorization.

2211112013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360566 (or 360562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2211112013032 its reverse (2303102111122), we get a palindrome (4514214124154).

The spelling of 2211112013032 in words is "two trillion, two hundred eleven billion, one hundred twelve million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1601 1924 3202 3848 6404 12808 20813 41626 59237 83252 118474 166504 236948 358909 473896 717818 770081 1435636 1540162 2871272 3080324 4665817 6160648 9331634 13279633 18663268 26559266 37326536 53118532 106237064 172635229 345270458 574613309 690540916 1149226618 1381081832 2298453236 4596906472 7469973017 14939946034 21260692433 29879892068 42521384866 59759784136 85042769732 170085539464 276389001629 552778003258 1105556006516 2211112013032