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101214431020 = 22517297689503
BaseRepresentation
bin101111001000011011…
…0011010011100101100
3100200020210210211102101
41132100312122130230
53124241343243040
6114255224304444
710212121316503
oct1362066323454
9320223724371
10101214431020
1139a199a90aa
1217748612124
1397102b7591
144c8246983a
152975b7609a
hex1790d9a72c

101214431020 has 24 divisors (see below), whose sum is σ = 225053265024. Its totient is φ = 38104256256.

The previous prime is 101214431009. The next prime is 101214431027. The reversal of 101214431020 is 20134412101.

It is a super-2 number, since 2×1012144310202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101214431027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148844412 + ... + 148845091.

It is an arithmetic number, because the mean of its divisors is an integer number (9377219376).

Almost surely, 2101214431020 is an apocalyptic number.

101214431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101214431020 is an abundant number, since it is smaller than the sum of its proper divisors (123838834004).

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

101214431020 is a wasteful number, since it uses less digits than its factorization.

101214431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297689529 (or 297689527 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101214431020 its reverse (20134412101), we get a palindrome (121348843121).

The spelling of 101214431020 in words is "one hundred one billion, two hundred fourteen million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 297689503 595379006 1190758012 1488447515 2976895030 5060721551 5953790060 10121443102 20242886204 25303607755 50607215510 101214431020