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2201210022102 = 2371319496742719
BaseRepresentation
bin100000000010000010010…
…101110110100011010110
321210102201010000000201220
4200002002111312203112
5242031034231201402
64403115534031210
7315014015321220
oct40020225664326
97712633000656
102201210022102
11779589743553
122b6738948506
1312c75b476650
147877954d410
153c3d27bbdbc
hex200825768d6

2201210022102 has 128 divisors (see below), whose sum is σ = 5704821964800. Its totient is φ = 549860628096.

The previous prime is 2201210022023. The next prime is 2201210022107. The reversal of 2201210022102 is 2012200121022.

It is a super-2 number, since 2×22012100221022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201210022107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51506299 + ... + 51549017.

It is an arithmetic number, because the mean of its divisors is an integer number (44568921600).

Almost surely, 22201210022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201210022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852410982400).

2201210022102 is an abundant number, since it is smaller than the sum of its proper divisors (3503611942698).

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

2201210022102 is a wasteful number, since it uses less digits than its factorization.

2201210022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47730.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2201210022102 its reverse (2012200121022), we get a palindrome (4213410143124).

The spelling of 2201210022102 in words is "two trillion, two hundred one billion, two hundred ten million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 4967 5187 9934 10374 14901 29802 34769 42719 64571 69538 85438 94373 104307 128157 129142 188746 193713 208614 256314 283119 299033 387426 451997 555347 566238 598066 660611 811661 897099 903994 1110694 1226849 1321222 1355991 1623322 1666041 1794198 1981833 2434983 2453698 2711982 3332082 3680547 3887429 3963666 4869966 5681627 7361094 7774858 8587943 10551593 11363254 11662287 17044881 17175886 21103186 23324574 25763829 31654779 34089762 51527658 63309558 73861151 147722302 212185273 221583453 424370546 443166906 636555819 1273111638 1485296911 2758408549 2970593822 4031520187 4455890733 5516817098 8063040374 8275225647 8911781466 12094560561 16550451294 19308859843 24189121122 28220641309 38617719686 52409762431 56441282618 57926579529 84661923927 104819524862 115853159058 157229287293 169323847854 314458574586 366868337017 733736674034 1100605011051 2201210022102