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101020102110 = 232537233130199
BaseRepresentation
bin101111000010101000…
…1000110110111011110
3100122202021010220021100
41132011101012313132
53123342121231420
6114224043213530
710204241462064
oct1360521066736
9318667126240
10101020102110
113992a2399a4
12176b35172a6
1396abc67665
144c64722034
152963a8c190
hex1785446dde

101020102110 has 96 divisors (see below), whose sum is σ = 270910785600. Its totient is φ = 26097928704.

The previous prime is 101020102037. The next prime is 101020102121. The reversal of 101020102110 is 11201020101.

It is a happy number.

It is a super-2 number, since 2×1010201021102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101020102092 and 101020102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710791 + ... + 840989.

It is an arithmetic number, because the mean of its divisors is an integer number (2821987350).

Almost surely, 2101020102110 is an apocalyptic number.

101020102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135455392800).

101020102110 is an abundant number, since it is smaller than the sum of its proper divisors (169890683490).

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

101020102110 is a wasteful number, since it uses less digits than its factorization.

101020102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130482 (or 130479 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101020102110 its reverse (11201020101), we get a palindrome (112221122211).

The spelling of 101020102110 in words is "one hundred one billion, twenty million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 233 333 370 466 555 666 699 1110 1165 1398 1665 2097 2330 3330 3495 4194 6990 8621 10485 17242 20970 25863 43105 51726 77589 86210 129315 130199 155178 258630 260398 387945 390597 650995 775890 781194 1171791 1301990 1952985 2343582 3905970 4817363 5858955 9634726 11717910 14452089 24086815 28904178 30336367 43356267 48173630 60672734 72260445 86712534 91009101 144520890 151681835 182018202 216781335 273027303 303363670 433562670 455045505 546054606 910091010 1122445579 1365136515 2244891158 2730273030 3367336737 5612227895 6734673474 10102010211 11224455790 16836683685 20204020422 33673367370 50510051055 101020102110