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200212111100 = 225229139496681
BaseRepresentation
bin1011101001110110010…
…0100101111011111100
3201010210010102001020002
42322131210211323330
511240013300023400
6231550504213432
720315304602501
oct2723544457374
9633703361202
10200212111100
1177a00576431
123297676a278
1315b59256bc1
1499943374a8
15531bdc1ed5
hex2e9d925efc

200212111100 has 72 divisors (see below), whose sum is σ = 452675974800. Its totient is φ = 76766860800.

The previous prime is 200212111093. The next prime is 200212111109. The reversal of 200212111100 is 1111212002.

200212111100 = 292612 + 292622 + ... + 294922.

It is a super-2 number, since 2×2002121111002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154760 + ... + 651440.

Almost surely, 2200212111100 is an apocalyptic number.

200212111100 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 200212111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226337987400).

200212111100 is an abundant number, since it is smaller than the sum of its proper divisors (252463863700).

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

200212111100 is a wasteful number, since it uses less digits than its factorization.

200212111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496863 (or 496856 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200212111100 its reverse (1111212002), we get a palindrome (201323323102).

The spelling of 200212111100 in words is "two hundred billion, two hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 139 145 278 290 556 580 695 725 1390 1450 2780 2900 3475 4031 6950 8062 13900 16124 20155 40310 80620 100775 201550 403100 496681 993362 1986724 2483405 4966810 9933620 12417025 14403749 24834050 28807498 49668100 57614996 69038659 72018745 138077318 144037490 276154636 288074980 345193295 360093725 690386590 720187450 1380773180 1440374900 1725966475 2002121111 3451932950 4004242222 6903865900 8008484444 10010605555 20021211110 40042422220 50053027775 100106055550 200212111100