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101020022112 = 2532574094521
BaseRepresentation
bin101111000010101000…
…0110011010101100000
3100122202020222211112110
41132011100303111200
53123342111201422
6114224041355320
710204241006622
oct1360520632540
9318666884473
10101020022112
113992a194889
12176b3498b40
1396abc3a119
144c64700c12
152963a7360c
hex1785433560

101020022112 has 48 divisors (see below), whose sum is σ = 266209442352. Its totient is φ = 33542307840.

The previous prime is 101020022099. The next prime is 101020022113. The reversal of 101020022112 is 211220020101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020022113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022589 + ... + 2071932.

It is an arithmetic number, because the mean of its divisors is an integer number (5546030049).

Almost surely, 2101020022112 is an apocalyptic number.

101020022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020022112 is an abundant number, since it is smaller than the sum of its proper divisors (165189420240).

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

101020022112 is a wasteful number, since it uses less digits than its factorization.

101020022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094791 (or 4094783 counting only the distinct ones).

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

Adding to 101020022112 its reverse (211220020101), we get a palindrome (312240042213).

The spelling of 101020022112 in words is "one hundred one billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 4094521 8189042 12283563 16378084 24567126 32756168 49134252 65512336 98268504 131024672 196537008 393074016 1052291897 2104583794 3156875691 4209167588 6313751382 8418335176 12627502764 16836670352 25255005528 33673340704 50510011056 101020022112