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201002221100 = 225213175120431
BaseRepresentation
bin1011101100110010101…
…0100111111000101100
3201012211012010210101102
42323030222213320230
511243123032033400
6232201131102232
720344010455262
oct2731452477054
9635735123342
10201002221100
11782765717aa
1232b572a1978
1315c53b56305
149a2b24a432
1553664439d5
hex2eccaa7e2c

201002221100 has 72 divisors (see below), whose sum is σ = 440111164416. Its totient is φ = 79677000000.

The previous prime is 201002221099. The next prime is 201002221109. The reversal of 201002221100 is 1122200102.

It is a happy number.

201002221100 is nontrivially palindromic in base 6.

It is not an unprimeable number, because it can be changed into a prime (201002221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9827885 + ... + 9848315.

Almost surely, 2201002221100 is an apocalyptic number.

201002221100 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 201002221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220055582208).

201002221100 is an abundant number, since it is smaller than the sum of its proper divisors (239108943316).

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

201002221100 is a wasteful number, since it uses less digits than its factorization.

201002221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21327 (or 21320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201002221100 its reverse (1122200102), we get a palindrome (202124421202).

The spelling of 201002221100 in words is "two hundred one billion, two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 751 1310 1502 2620 3004 3275 3755 6550 7510 13100 15020 18775 20431 37550 40862 75100 81724 98381 102155 196762 204310 393524 408620 491905 510775 983810 1021550 1967620 2043100 2459525 2676461 4919050 5352922 9838100 10705844 13382305 15343681 26764610 30687362 53529220 61374724 66911525 76718405 133823050 153436810 267646100 306873620 383592025 767184050 1534368100 2010022211 4020044422 8040088844 10050111055 20100222110 40200444220 50250555275 100501110550 201002221100