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1010000122200 = 2332523715165167
BaseRepresentation
bin11101011001010001011…
…00101101000101011000
310120112222122102021020100
432230220230231011120
5113021440012402300
62051553155455400
7132653513250156
oct16545054550530
93515878367210
101010000122200
1135a37a8137a3
121438b2bb7560
137431ccc9804
1436c545dc3d6
151b41464a700
hexeb28b2d158

1010000122200 has 144 divisors (see below), whose sum is σ = 3483590741280. Its totient is φ = 262054068480.

The previous prime is 1010000122199. The next prime is 1010000122213. The reversal of 1010000122200 is 22210000101.

It is a super-4 number, since 4×10100001222004 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7515984 + ... + 7649183.

It is an arithmetic number, because the mean of its divisors is an integer number (24191602370).

Almost surely, 21010000122200 is an apocalyptic number.

1010000122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010000122200 is an abundant number, since it is smaller than the sum of its proper divisors (2473590619080).

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

1010000122200 is a wasteful number, since it uses less digits than its factorization.

1010000122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15165226 (or 15165214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010000122200 its reverse (22210000101), we get a palindrome (1032210122301).

The spelling of 1010000122200 in words is "one trillion, ten billion, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 15165167 30330334 45495501 60660668 75825835 90991002 121321336 136486503 151651670 181982004 227477505 272973006 303303340 363964008 379129175 454955010 545946012 561111179 606606680 682432515 758258350 909910020 1091892024 1122222358 1137387525 1364865030 1516516700 1683333537 1819820040 2244444716 2274775050 2729730060 2805555895 3033033400 3366667074 3412162575 4488889432 4549550100 5050000611 5459460120 5611111790 6733334148 6824325150 8416667685 9099100200 10100001222 11222223580 13466668296 13648650300 14027779475 16833335370 20200002444 22444447160 25250003055 27297300600 28055558950 33666670740 40400004888 42083338425 50500006110 56111117900 67333341480 84166676850 101000012220 112222235800 126250015275 168333353700 202000024440 252500030550 336666707400 505000061100 1010000122200