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101022321012 = 22367795115803
BaseRepresentation
bin101111000010101100…
…1100100100101110100
3100122202102022122000220
41132011121210211310
53123343203233022
6114224202534340
710204266363144
oct1360531444564
9318672278026
10101022321012
1139930514aa8
12176b42073b0
1396ac563612
144c64b3c924
152963d7985c
hex1785664974

101022321012 has 48 divisors (see below), whose sum is σ = 239282168832. Its totient is φ = 33165237600.

The previous prime is 101022320981. The next prime is 101022321017. The reversal of 101022321012 is 210123220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022320982 and 101022321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022321017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6384703 + ... + 6400505.

It is an arithmetic number, because the mean of its divisors is an integer number (4985045184).

Almost surely, 2101022321012 is an apocalyptic number.

101022321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022321012 is an abundant number, since it is smaller than the sum of its proper divisors (138259847820).

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

101022321012 is a wasteful number, since it uses less digits than its factorization.

101022321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23828 (or 23826 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101022321012 its reverse (210123220101), we get a palindrome (311145541113).

The spelling of 101022321012 in words is "one hundred one billion, twenty-two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 7951 15803 15902 23853 31606 31804 47409 47706 63212 94818 95412 189636 532717 1058801 1065434 1598151 2117602 2130868 3176403 3196302 4235204 6352806 6392604 12705612 125649653 251299306 376948959 502598612 753897918 1507795836 8418526751 16837053502 25255580253 33674107004 50511160506 101022321012