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101022011010 = 23259471185287
BaseRepresentation
bin101111000010101100…
…0011000111010000010
3100122202101201212210100
41132011120120322002
53123343113323020
6114224152143230
710204263632304
oct1360530307202
9318671655710
10101022011010
11399303230a8
12176b4097b16
1396ac48549b
144c64a9b974
152963d17a90
hex1785618e82

101022011010 has 48 divisors (see below), whose sum is σ = 262934807616. Its totient is φ = 26910733344.

The previous prime is 101022010979. The next prime is 101022011023. The reversal of 101022011010 is 10110220101.

It is a happy number.

101022011010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010220110102 (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 = 101022010983 and 101022011001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507414 + ... + 677873.

It is an arithmetic number, because the mean of its divisors is an integer number (5477808492).

Almost surely, 2101022011010 is an apocalyptic number.

101022011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022011010 is an abundant number, since it is smaller than the sum of its proper divisors (161912796606).

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

101022011010 is a wasteful number, since it uses less digits than its factorization.

101022011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186247 (or 1186244 counting only the distinct ones).

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

Adding to 101022011010 its reverse (10110220101), we get a palindrome (111132231111).

The spelling of 101022011010 in words is "one hundred one billion, twenty-two million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 947 1894 2841 4735 5682 8523 9470 14205 17046 28410 42615 85230 1185287 2370574 3555861 5926435 7111722 10667583 11852870 17779305 21335166 35558610 53337915 106675830 1122466789 2244933578 3367400367 5612333945 6734800734 10102201101 11224667890 16837001835 20204402202 33674003670 50511005505 101022011010