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200212001220100 = 22527327426301537
BaseRepresentation
bin101101100001011101111101…
…001101100110011000000100
3222020220002011121022220002011
4231201131331031212120010
5202220233134303020400
61545452042411224004
760112561014046432
oct5541357515463004
9866802147286064
10200212001220100
1158880484199871
121a556516148004
138793baba7c00c
14376245395dd52
151822e90e258ba
hexb6177d366604

200212001220100 has 36 divisors (see below), whose sum is σ = 440411550097204. Its totient is φ = 78987748423680.

The previous prime is 200212001220097. The next prime is 200212001220109. The reversal of 200212001220100 is 1022100212002.

It is a happy number.

200212001220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2227233881664 + 197984767338436 = 1492392^2 + 14070706^2 .

It is not an unprimeable number, because it can be changed into a prime (200212001220109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13713143469 + ... + 13713158068.

Almost surely, 2200212001220100 is an apocalyptic number.

200212001220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212001220100 is an abundant number, since it is smaller than the sum of its proper divisors (240199548877104).

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

200212001220100 is a wasteful number, since it uses less digits than its factorization.

200212001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27426301624 (or 27426301617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200212001220100 its reverse (1022100212002), we get a palindrome (201234101432102).

The spelling of 200212001220100 in words is "two hundred trillion, two hundred twelve billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 27426301537 54852603074 109705206148 137131507685 274263015370 548526030740 685657538425 1371315076850 2002120012201 2742630153700 4004240024402 8008480048804 10010600061005 20021200122010 40042400244020 50053000305025 100106000610050 200212001220100