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220012112100 = 2235211371801901
BaseRepresentation
bin1100110011100110111…
…1100110100011100100
3210000220000121022102110
43030321233212203210
512101041100041400
6245023331041020
721616051045104
oct3147157464344
9700800538373
10220012112100
1185341113220
1236781740170
1317993377b21
14a911c3b204
155aca2d3e50
hex3339be68e4

220012112100 has 144 divisors (see below), whose sum is σ = 713207226816. Its totient is φ = 51894720000.

The previous prime is 220012112051. The next prime is 220012112101. The reversal of 220012112100 is 1211210022.

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

It is not an unprimeable number, because it can be changed into a prime (220012112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778851 + ... + 1023050.

It is an arithmetic number, because the mean of its divisors is an integer number (4952827964).

Almost surely, 2220012112100 is an apocalyptic number.

220012112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012112100 is an abundant number, since it is smaller than the sum of its proper divisors (493195114716).

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

220012112100 is a wasteful number, since it uses less digits than its factorization.

220012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801966 (or 1801959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220012112100 its reverse (1211210022), we get a palindrome (221223322122).

The spelling of 220012112100 in words is "two hundred twenty billion, twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 1801901 3603802 5405703 7207604 9009505 10811406 18019010 19820911 21622812 27028515 36038020 39641822 45047525 54057030 59462733 66670337 79283644 90095050 99104555 108114060 118925466 133340674 135142575 180190100 198209110 200011011 237850932 266681348 270285150 297313665 333351685 396418220 400022022 495522775 540570300 594627330 666703370 733373707 800044044 991045550 1000055055 1189254660 1333406740 1466747414 1486568325 1666758425 1982091100 2000110110 2200121121 2933494828 2973136650 3333516850 3666868535 4000220220 4400242242 5000275275 5946273300 6667033700 7333737070 8800484484 10000550550 11000605605 14667474140 18334342675 20001101100 22001211210 36668685350 44002422420 55003028025 73337370700 110006056050 220012112100