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200111100100 = 22527931779907
BaseRepresentation
bin1011101001011110001…
…1010001000011000100
3201010112002100011011221
42322113203101003010
511234311420200400
6231532455210124
720312640200002
oct2722743210304
9633462304157
10200111100100
117795955436a
1232948976944
1315b4134b192
149984b61a72
1553130bcc1a
hex2e978d10c4

200111100100 has 72 divisors (see below), whose sum is σ = 441130515840. Its totient is φ = 78780923520.

The previous prime is 200111100089. The next prime is 200111100113. The reversal of 200111100100 is 1001111002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2464347 + ... + 2544253.

It is an arithmetic number, because the mean of its divisors is an integer number (6126812720).

Almost surely, 2200111100100 is an apocalyptic number.

200111100100 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 200111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220565257920).

200111100100 is an abundant number, since it is smaller than the sum of its proper divisors (241019415740).

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

200111100100 is a wasteful number, since it uses less digits than its factorization.

200111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80317 (or 80310 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 200111100100 its reverse (1001111002), we get a palindrome (201112211102).

The spelling of 200111100100 in words is "two hundred billion, one hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 317 395 634 790 1268 1580 1585 1975 3170 3950 6340 7900 7925 15850 25043 31700 50086 79907 100172 125215 159814 250430 319628 399535 500860 626075 799070 1252150 1598140 1997675 2504300 3995350 6312653 7990700 12625306 25250612 25330519 31563265 50661038 63126530 101322076 126253060 126652595 157816325 253305190 315632650 506610380 631265300 633262975 1266525950 2001111001 2533051900 4002222002 8004444004 10005555005 20011110010 40022220020 50027775025 100055550050 200111100100