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2213216103120 = 243511838339433
BaseRepresentation
bin100000001101001101111…
…101011010101011010000
321211120200211120010200020
4200031031331122223100
5242230131310244440
64412423142023440
7315620362322661
oct40151575325320
97746624503606
102213216103120
1178368a878960
122b8b29717b80
13130922959cb9
1479197cb1368
153c88683e3d0
hex2034df5aad0

2213216103120 has 80 divisors (see below), whose sum is σ = 7484694466752. Its totient is φ = 536537236480.

The previous prime is 2213216103067. The next prime is 2213216103127. The reversal of 2213216103120 is 213016123122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213216103127) 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, 419167077 + ... + 419172356.

Almost surely, 22213216103120 is an apocalyptic number.

2213216103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213216103120 is an abundant number, since it is smaller than the sum of its proper divisors (5271478363632).

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

2213216103120 is a wasteful number, since it uses less digits than its factorization.

2213216103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838339460 (or 838339454 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 2213216103120 in words is "two trillion, two hundred thirteen billion, two hundred sixteen million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 838339433 1676678866 2515018299 3353357732 4191697165 5030036598 6706715464 8383394330 9221733763 10060073196 12575091495 13413430928 16766788660 18443467526 20120146392 25150182990 27665201289 33533577320 36886935052 40240292784 46108668815 50300365980 55330402578 67067154640 73773870104 92217337630 100600731960 110660805156 138326006445 147547740208 184434675260 201201463920 221321610312 276652012890 368869350520 442643220624 553304025780 737738701040 1106608051560 2213216103120