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10101224124 = 22331511673709
BaseRepresentation
bin10010110100001010…
…00111001010111100
3222001222020100112000
421122011013022330
5131141403132444
64350200142300
7505213663005
oct113205071274
928058210460
1010101224124
114313972212
121b5aa67990
13c4c96c1c4
146bb7921ac
153e1c05469
hex25a1472bc

10101224124 has 96 divisors (see below), whose sum is σ = 26526796800. Its totient is φ = 3323851200.

The previous prime is 10101224123. The next prime is 10101224149. The reversal of 10101224124 is 42142210101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10101224097 and 10101224106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101224123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721582 + ... + 2725290.

It is an arithmetic number, because the mean of its divisors is an integer number (276320800).

Almost surely, 210101224124 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 10101224124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263398400).

10101224124 is an abundant number, since it is smaller than the sum of its proper divisors (16425572676).

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

10101224124 is a wasteful number, since it uses less digits than its factorization.

10101224124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10101224124 its reverse (42142210101), we get a palindrome (52243434225).

The spelling of 10101224124 in words is "ten billion, one hundred one million, two hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 167 302 334 453 501 604 668 906 1002 1359 1503 1812 2004 2718 3006 3709 4077 4509 5436 6012 7418 8154 9018 11127 14836 16308 18036 22254 25217 33381 44508 50434 66762 75651 100143 100868 133524 151302 200286 226953 302604 400572 453906 560059 619403 680859 907812 1120118 1238806 1361718 1680177 1858209 2240236 2477612 2723436 3360354 3716418 5040531 5574627 6720708 7432836 10081062 11149254 15121593 16723881 20162124 22298508 30243186 33447762 60486372 66895524 93529853 187059706 280589559 374119412 561179118 841768677 1122358236 1683537354 2525306031 3367074708 5050612062 10101224124