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101030100424 = 231110112139371
BaseRepresentation
bin101111000010111011…
…1001111110111001000
3100122202221221212101021
41132011313033313020
53123402201203144
6114225041402224
710204422453511
oct1360567176710
9318687855337
10101030100424
1139934948870
12176b6939374
1396b1058516
144c65ba5a08
1529648b4884
hex1785dcfdc8

101030100424 has 64 divisors (see below), whose sum is σ = 208892882880. Its totient is φ = 45425760000.

The previous prime is 101030100401. The next prime is 101030100427. The reversal of 101030100424 is 424001030101.

It is a junction number, because it is equal to n+sod(n) for n = 101030100398 and 101030100407.

It is not an unprimeable number, because it can be changed into a prime (101030100427) 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, 10776459 + ... + 10785829.

It is an arithmetic number, because the mean of its divisors is an integer number (3263951295).

Almost surely, 2101030100424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104446441440).

101030100424 is an abundant number, since it is smaller than the sum of its proper divisors (107862782456).

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

101030100424 is a wasteful number, since it uses less digits than its factorization.

101030100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101030100424 its reverse (424001030101), we get a palindrome (525031130525).

The spelling of 101030100424 in words is "one hundred one billion, thirty million, one hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 1213 2222 2426 4444 4852 8888 9371 9704 13343 18742 26686 37484 53372 74968 103081 106744 122513 206162 245026 412324 490052 824648 946471 980104 1347643 1892942 2695286 3785884 5390572 7571768 10411181 10781144 11367023 20822362 22734046 41644724 45468092 83289448 90936184 125037253 250074506 500149012 1000298024 1148069323 2296138646 4592277292 9184554584 12628762553 25257525106 50515050212 101030100424