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2073102120 = 233352966191
BaseRepresentation
bin111101110010001…
…0000011100101000
312100110220111111000
41323210100130220
513221203231440
6541413435000
7102242035335
oct17344203450
95313814430
102073102120
11974237341
1249a33ba60
13270660b5b
1415948798c
15c2002730
hex7b910728

2073102120 has 128 divisors (see below), whose sum is σ = 7148736000. Its totient is φ = 533756160.

The previous prime is 2073102089. The next prime is 2073102131. The reversal of 2073102120 is 212013702.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2073102093 and 2073102102.

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, 1776 + ... + 64415.

It is an arithmetic number, because the mean of its divisors is an integer number (55849500).

Almost surely, 22073102120 is an apocalyptic number.

2073102120 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 2073102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574368000).

2073102120 is an abundant number, since it is smaller than the sum of its proper divisors (5075633880).

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

2073102120 is a wasteful number, since it uses less digits than its factorization.

2073102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66240 (or 66230 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2073102120 is about 45531.3311907306. The cubic root of 2073102120 is about 1275.0882153497.

Adding to 2073102120 its reverse (212013702), we get a palindrome (2285115822).

The spelling of 2073102120 in words is "two billion, seventy-three million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 15660 31320 66191 132382 198573 264764 330955 397146 529528 595719 661910 794292 992865 1191438 1323820 1588584 1787157 1919539 1985730 2382876 2647640 2978595 3574314 3839078 3971460 4765752 5758617 5957190 7148628 7678156 7942920 8935785 9597695 11517234 11914380 14297256 15356312 17275851 17871570 19195390 23034468 23828760 28793085 34551702 35743140 38390780 46068936 51827553 57586170 69103404 71486280 76781560 86379255 103655106 115172340 138206808 172758510 207310212 230344680 259137765 345517020 414620424 518275530 691034040 1036551060 2073102120