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2010013212320 = 255471559171449
BaseRepresentation
bin11101001111111110000…
…111111001111010100000
321010011012021110201222122
4131033332013321322200
5230413001340243240
64135215354523412
7265135000255631
oct35177607717240
97104167421878
102010013212320
1170549506a473
12285679436568
1311770abc9589
146d3dc691888
15374420ea4b5
hex1d3fe1f9ea0

2010013212320 has 96 divisors (see below), whose sum is σ = 4852830528000. Its totient is φ = 786389456896.

The previous prime is 2010013212313. The next prime is 2010013212329. The reversal of 2010013212320 is 232123100102.

It is a super-2 number, since 2×20100132123202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010013212329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11637956 + ... + 11809404.

It is an arithmetic number, because the mean of its divisors is an integer number (50550318000).

Almost surely, 22010013212320 is an apocalyptic number.

2010013212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010013212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426415264000).

2010013212320 is an abundant number, since it is smaller than the sum of its proper divisors (2842817315680).

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

2010013212320 is a wasteful number, since it uses less digits than its factorization.

2010013212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173070 (or 173062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2010013212320 its reverse (232123100102), we get a palindrome (2242136312422).

The spelling of 2010013212320 in words is "two trillion, ten billion, thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1559 1880 3118 3760 6236 7520 7795 12472 15590 24944 31180 49888 62360 73273 124720 146546 171449 249440 293092 342898 366365 586184 685796 732730 857245 1172368 1371592 1465460 1714490 2344736 2743184 2930920 3428980 5486368 5861840 6857960 8058103 11723680 13715920 16116206 27431840 32232412 40290515 64464824 80581030 128929648 161162060 257859296 267288991 322324120 534577982 644648240 1069155964 1289296480 1336444955 2138311928 2672889910 4276623856 5345779820 8553247712 10691559640 12562582577 21383119280 25125165154 42766238560 50250330308 62812912885 100500660616 125625825770 201001321232 251251651540 402002642464 502503303080 1005006606160 2010013212320