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20102122200 = 2335237224473
BaseRepresentation
bin10010101110001011…
…100000101011011000
31220212221200121120110
4102232023200223120
5312132120402300
613122414124320
71311102135156
oct225613405330
956787617513
1020102122200
11858613aa36
123a901b06a0
131b848b2384
14d89aaa3d6
157c9bde550
hex4ae2e0ad8

20102122200 has 144 divisors (see below), whose sum is σ = 64048947480. Its totient is φ = 5215472640.

The previous prime is 20102122177. The next prime is 20102122211. The reversal of 20102122200 is 222120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 809164 + ... + 833636.

Almost surely, 220102122200 is an apocalyptic number.

20102122200 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 20102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32024473740).

20102122200 is an abundant number, since it is smaller than the sum of its proper divisors (43946825280).

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

20102122200 is a wasteful number, since it uses less digits than its factorization.

20102122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24566 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20102122200 its reverse (222120102), we get a palindrome (20324242302).

The spelling of 20102122200 in words is "twenty billion, one hundred two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1369 1480 1850 2220 2738 2775 3700 4107 4440 5476 5550 6845 7400 8214 10952 11100 13690 16428 20535 22200 24473 27380 32856 34225 41070 48946 54760 68450 73419 82140 97892 102675 122365 136900 146838 164280 195784 205350 244730 273800 293676 367095 410700 489460 587352 611825 734190 821400 905501 978920 1223650 1468380 1811002 1835475 2447300 2716503 2936760 3622004 3670950 4527505 4894600 5433006 7244008 7341900 9055010 10866012 13582515 14683800 18110020 21732024 22637525 27165030 33503537 36220040 45275050 54330060 67007074 67912575 90550100 100510611 108660120 134014148 135825150 167517685 181100200 201021222 268028296 271650300 335035370 402042444 502553055 543300600 670070740 804084888 837588425 1005106110 1340141480 1675176850 2010212220 2512765275 3350353700 4020424440 5025530550 6700707400 10051061100 20102122200