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200212001222100 = 22352795339048201
BaseRepresentation
bin101101100001011101111101…
…001101100110110111010100
3222020220002011121022222211020
4231201131331031212313110
5202220233134303101400
61545452042411241140
760112561014055320
oct5541357515466724
9866802147288736
10200212001222100
11588804841a031a
121a5565161491b0
138793baba7cbba
143762453960980
151822e90e262a0
hexb6177d366dd4

200212001222100 has 72 divisors (see below), whose sum is σ = 662034350714688. Its totient is φ = 45762743136000.

The previous prime is 200212001222087. The next prime is 200212001222209. The reversal of 200212001222100 is 1222100212002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200212001222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47669522001 + ... + 47669526200.

It is an arithmetic number, because the mean of its divisors is an integer number (9194921537704).

Almost surely, 2200212001222100 is an apocalyptic number.

200212001222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212001222100 is an abundant number, since it is smaller than the sum of its proper divisors (461822349492588).

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

200212001222100 is a wasteful number, since it uses less digits than its factorization.

200212001222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95339048225 (or 95339048218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200212001222100 its reverse (1222100212002), we get a palindrome (201434101434102).

The spelling of 200212001222100 in words is "two hundred trillion, two hundred twelve billion, one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 95339048201 190678096402 286017144603 381356192804 476695241005 572034289206 667373337407 953390482010 1144068578412 1334746674814 1430085723015 1906780964020 2002120012221 2383476205025 2669493349628 2860171446030 3336866687035 4004240024442 4766952410050 5720342892060 6673733374070 7150428615075 8008480048884 9533904820100 10010600061105 13347466748140 14300857230150 16684333435175 20021200122210 28601714460300 33368666870350 40042400244420 50053000305525 66737333740700 100106000611050 200212001222100