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2013022111200 = 253525091647857
BaseRepresentation
bin11101010010110001011…
…101111100010111100000
321010102221222020122021220
4131102301131330113200
5230440132130024300
64140434122015040
7265302364423602
oct35226135742740
97112858218256
102013022111200
11706799558761
12286179047480
13117a9a3a8409
146d606133172
153756b34ada0
hex1d4b177c5e0

2013022111200 has 144 divisors (see below), whose sum is σ = 6565264014960. Its totient is φ = 535750942720.

The previous prime is 2013022111183. The next prime is 2013022111337. The reversal of 2013022111200 is 21112203102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013022111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397672 + ... + 2045528.

It is an arithmetic number, because the mean of its divisors is an integer number (45592111215).

Almost surely, 22013022111200 is an apocalyptic number.

2013022111200 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 2013022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282632007480).

2013022111200 is an abundant number, since it is smaller than the sum of its proper divisors (4552241903760).

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

2013022111200 is a wasteful number, since it uses less digits than its factorization.

2013022111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648389 (or 1648376 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2013022111200 its reverse (21112203102), we get a palindrome (2034134314302).

The spelling of 2013022111200 in words is "two trillion, thirteen billion, twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 509 600 800 1018 1200 1527 2036 2400 2545 3054 4072 5090 6108 7635 8144 10180 12216 12725 15270 16288 20360 24432 25450 30540 38175 40720 48864 50900 61080 76350 81440 101800 122160 152700 203600 244320 305400 407200 610800 1221600 1647857 3295714 4943571 6591428 8239285 9887142 13182856 16478570 19774284 24717855 26365712 32957140 39548568 41196425 49435710 52731424 65914280 79097136 82392850 98871420 123589275 131828560 158194272 164785700 197742840 247178550 263657120 329571400 395485680 494357100 659142800 790971360 838759213 988714200 1318285600 1677518426 1977428400 2516277639 3355036852 3954856800 4193796065 5032555278 6710073704 8387592130 10065110556 12581388195 13420147408 16775184260 20130221112 20968980325 25162776390 26840294816 33550368520 40260442224 41937960650 50325552780 62906940975 67100737040 80520884448 83875921300 100651105560 125813881950 134201474080 167751842600 201302211120 251627763900 335503685200 402604422240 503255527800 671007370400 1006511055600 2013022111200