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10202101122 = 23235367109191
BaseRepresentation
bin10011000000001011…
…11011010110000010
3222100000001102202010
421200011323112002
5131343214213442
64404202233350
7510550300023
oct114005732602
928300042663
1010202101122
114365902634
121b887b5856
13c6782bc35
146cad30c4a
153ea9ceb9c
hex26017b582

10202101122 has 128 divisors (see below), whose sum is σ = 22335160320. Its totient is φ = 3098684160.

The previous prime is 10202101121. The next prime is 10202101163. The reversal of 10202101122 is 22110120201.

It is a junction number, because it is equal to n+sod(n) for n = 10202101098 and 10202101107.

It is not an unprimeable number, because it can be changed into a prime (10202101121) 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, 53414047 + ... + 53414237.

It is an arithmetic number, because the mean of its divisors is an integer number (174493440).

Almost surely, 210202101122 is an apocalyptic number.

10202101122 is an abundant number, since it is smaller than the sum of its proper divisors (12133059198).

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

10202101122 is a wasteful number, since it uses less digits than its factorization.

10202101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202101122 its reverse (22110120201), we get a palindrome (32312221323).

The spelling of 10202101122 in words is "ten billion, two hundred two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 46 53 67 69 106 109 134 138 159 191 201 218 318 327 382 402 573 654 1146 1219 1541 2438 2507 3082 3551 3657 4393 4623 5014 5777 7102 7303 7314 7521 8786 9246 10123 10653 11554 12797 13179 14606 15042 17331 20246 20819 21306 21909 25594 26358 30369 34662 38391 41638 43818 60738 62457 76782 81673 124914 132871 163346 167969 232829 245019 265742 294331 335938 387059 398613 465658 478837 490038 503907 588662 678241 698487 774118 797226 882993 957674 1007814 1103407 1161177 1356482 1394873 1396974 1436511 1765986 2034723 2206814 2322354 2789746 2873022 3310221 4069446 4184619 6620442 8369238 8902357 15599543 17804714 25378361 26707071 31199086 32082079 46798629 50756722 53414142 64164158 73928269 76135083 93597258 96246237 147856538 152270166 192492474 221784807 443569614 1700350187 3400700374 5101050561 10202101122