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201002122100 = 225213236722479
BaseRepresentation
bin1011101100110010101…
…0001111101101110100
3201012211011221202120202
42323030222033231310
511243123020401400
6232201125020032
720344006563533
oct2731452175564
9635734852522
10201002122100
117827650438a
1232b57254618
1315c53b20230
149a2b22231a
1553664244d5
hex2ecca8fb74

201002122100 has 72 divisors (see below), whose sum is σ = 490149461760. Its totient is φ = 70989367680.

The previous prime is 201002122093. The next prime is 201002122109. The reversal of 201002122100 is 1221200102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002122109) 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, 3331340 + ... + 3391139.

Almost surely, 2201002122100 is an apocalyptic number.

201002122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002122100 is an abundant number, since it is smaller than the sum of its proper divisors (289147339660).

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

201002122100 is a wasteful number, since it uses less digits than its factorization.

201002122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722529 (or 6722522 counting only the distinct ones).

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

Adding to 201002122100 its reverse (1221200102), we get a palindrome (202223322202).

The spelling of 201002122100 in words is "two hundred one billion, two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 6722479 13444958 26889916 33612395 67224790 87392227 134449580 154617017 168061975 174784454 309234034 336123950 349568908 436961135 618468068 672247900 773085085 873922270 1546170170 1747844540 2010021221 2184805675 3092340340 3865425425 4020042442 4369611350 7730850850 8040084884 8739222700 10050106105 15461701700 20100212210 40200424420 50250530525 100501061050 201002122100