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2212103012020 = 22511101238341777
BaseRepresentation
bin100000001100001011100…
…111010011111010110100
321211110211021002020201221
4200030023213103322310
5242220341332341040
64412120500400124
7315550655234266
oct40141347237264
97743737066657
102212103012020
11783169532060
122b88789a6044
131307a6174805
14790d0125b36
153c81dc6e74a
hex2030b9d3eb4

2212103012020 has 96 divisors (see below), whose sum is σ = 5120172642816. Its totient is φ = 796083456000.

The previous prime is 2212103011973. The next prime is 2212103012039. The reversal of 2212103012020 is 202103012122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2212103011985 and 2212103012003.

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, 52929372 + ... + 52971148.

It is an arithmetic number, because the mean of its divisors is an integer number (53335131696).

Almost surely, 22212103012020 is an apocalyptic number.

2212103012020 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 2212103012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560086321408).

2212103012020 is an abundant number, since it is smaller than the sum of its proper divisors (2908069630796).

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

2212103012020 is a wasteful number, since it uses less digits than its factorization.

2212103012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44281 (or 44279 counting only the distinct ones).

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

Adding to 2212103012020 its reverse (202103012122), we get a palindrome (2414206024142).

The spelling of 2212103012020 in words is "two trillion, two hundred twelve billion, one hundred three million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2383 4444 4766 5555 9532 11110 11915 22220 23830 26213 41777 47660 52426 83554 104852 131065 167108 208885 240683 262130 417770 459547 481366 524260 835540 919094 962732 1203415 1838188 2297735 2406830 2647513 4219477 4595470 4813660 5295026 8438954 9190940 10590052 13237565 16877908 21097385 26475130 42194770 46414247 52950260 84389540 92828494 99554591 185656988 199109182 232071235 398218364 464142470 497772955 928284940 995545910 1095100501 1991091820 2190201002 4380402004 5475502505 10055013691 10951005010 20110027382 21902010020 40220054764 50275068455 100550136910 110605150601 201100273820 221210301202 442420602404 553025753005 1106051506010 2212103012020