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211220032233100 = 225211234575049523
BaseRepresentation
bin110000000001101001111110…
…111111011001111010001100
31000200212102211012202022010111
4300001221332333121322030
5210141112111222424400
62025121050535245404
762330100205601122
oct6001517677317214
91020772735668114
10211220032233100
1161334a04778700
121b833a35519864
1390b1c6ac84267
143a23165953912
1519644b76a43ba
hexc01a7efd9e8c

211220032233100 has 108 divisors (see below), whose sum is σ = 503949251463112. Its totient is φ = 76785051340800.

The previous prime is 211220032233083. The next prime is 211220032233149. The reversal of 211220032233100 is 1332230022112.

It is a super-2 number, since 2×2112200322331002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 39304939 + ... + 44354461.

Almost surely, 2211220032233100 is an apocalyptic number.

211220032233100 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 211220032233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251974625731556).

211220032233100 is an abundant number, since it is smaller than the sum of its proper divisors (292729219230012).

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

211220032233100 is a wasteful number, since it uses less digits than its factorization.

211220032233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053016 (or 5052998 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 211220032233100 its reverse (1332230022112), we get a palindrome (212552262255212).

The spelling of 211220032233100 in words is "two hundred eleven trillion, two hundred twenty billion, thirty-two million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3457 6050 6914 12100 13828 17285 34570 38027 69140 76054 86425 152108 172850 190135 345700 380270 418297 760540 836594 950675 1673188 1901350 2091485 3802700 4182970 5049523 8365940 10099046 10457425 20198092 20914850 25247615 41829700 50495230 55544753 100990460 111089506 126238075 222179012 252476150 277723765 504952300 555447530 610992283 1110895060 1221984566 1388618825 2443969132 2777237650 3054961415 5554475300 6109922830 12219845660 15274807075 17456201011 30549614150 34912402022 61099228300 69824804044 87281005055 174562010110 192018211121 349124020220 384036422242 436405025275 768072844484 872810050550 960091055605 1745620101100 1920182111210 2112200322331 3840364222420 4224400644662 4800455278025 8448801289324 9600910556050 10561001611655 19201821112100 21122003223310 42244006446620 52805008058275 105610016116550 211220032233100