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200211100100 = 225211691263401
BaseRepresentation
bin1011101001110110000…
…0101111000111000100
3201010210001111200101122
42322131200233013010
511240013020200400
6231550430413112
720315263162124
oct2723540570704
9633701450348
10200211100100
11779aaa458a0
1232976361198
1315b58c9198b
149994152c84
15531bc72685
hex2e9d82f1c4

200211100100 has 72 divisors (see below), whose sum is σ = 474641975136. Its totient is φ = 72698400000.

The previous prime is 200211100093. The next prime is 200211100151. The reversal of 200211100100 is 1001112002.

200211100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 628400 + ... + 891800.

Almost surely, 2200211100100 is an apocalyptic number.

200211100100 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 200211100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237320987568).

200211100100 is an abundant number, since it is smaller than the sum of its proper divisors (274430875036).

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

200211100100 is a wasteful number, since it uses less digits than its factorization.

200211100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264117 (or 264110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200211100100 its reverse (1001112002), we get a palindrome (201212212102).

The spelling of 200211100100 in words is "two hundred billion, two hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 691 1100 1382 2764 3455 6910 7601 13820 15202 17275 30404 34550 38005 69100 76010 152020 190025 263401 380050 526802 760100 1053604 1317005 2634010 2897411 5268020 5794822 6585025 11589644 13170050 14487055 26340100 28974110 57948220 72435275 144870550 182010091 289741100 364020182 728040364 910050455 1820100910 2002111001 3640201820 4004222002 4550252275 8008444004 9100504550 10010555005 18201009100 20021110010 40042220020 50052775025 100105550050 200211100100