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2013220210012 = 2211176758796833
BaseRepresentation
bin11101010010111101010…
…001101000010101011100
321010110110210000002202221
4131102331101220111130
5230441033333210022
64140505515555124
7265310321302264
oct35227521502534
97113423002687
102013220210012
11706890362290
1228621345baa4
13117acc44824b
146d62457c7a4
153757d92bcc7
hex1d4bd46855c

2013220210012 has 96 divisors (see below), whose sum is σ = 4131549918720. Its totient is φ = 848147435520.

The previous prime is 2013220210003. The next prime is 2013220210021. The reversal of 2013220210012 is 2100120223102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2013220210003) and next prime (2013220210021).

It is a super-2 number, since 2×20132202100122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294628548 + ... + 294635380.

It is an arithmetic number, because the mean of its divisors is an integer number (43036978320).

Almost surely, 22013220210012 is an apocalyptic number.

2013220210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013220210012 is an abundant number, since it is smaller than the sum of its proper divisors (2118329708708).

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

2013220210012 is a wasteful number, since it uses less digits than its factorization.

2013220210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2013220210012 its reverse (2100120223102), we get a palindrome (4113340433114).

The spelling of 2013220210012 in words is "two trillion, thirteen billion, two hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 67 68 134 187 268 374 737 748 1139 1474 2278 2948 4556 5879 6833 11758 12529 13666 23516 25058 27332 50116 64669 75163 99943 116161 129338 150326 199886 232322 258676 300652 393893 399772 457811 464644 787786 915622 1099373 1277771 1575572 1831244 2198746 2555542 4332823 4397492 5035921 5111084 6696181 7782787 8665646 10071842 13392362 15565574 17331292 20143684 26784724 31131148 40171207 73657991 80342414 85610657 147315982 160684828 171221314 294631964 342442628 441883277 682910519 883766554 1365821038 1767533108 2691470869 2731642076 5382941738 7512015709 10765883476 15024031418 29606179559 30048062836 45755004773 59212359118 91510009546 118424718236 183020019092 503305052503 1006610105006 2013220210012