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10100220 = 22351323563
BaseRepresentation
bin100110100001…
…110111111100
3201000010220020
4212201313330
510041201340
61000252140
7151564464
oct46416774
921003806
1010100220
115779499
123471050
132128380
1414acba4
15d479d0
hex9a1dfc

10100220 has 96 divisors (see below), whose sum is σ = 31836672. Its totient is φ = 2373888.

The previous prime is 10100219. The next prime is 10100221. The reversal of 10100220 is 2200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100219) and next prime (10100221).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10100199 and 10100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221) 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, 17659 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (331632).

Almost surely, 210100220 is an apocalyptic number.

10100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918336).

10100220 is an abundant number, since it is smaller than the sum of its proper divisors (21736452).

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

10100220 is a wasteful number, since it uses less digits than its factorization.

10100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10100220 is about 3178.0843286483. The cubic root of 10100220 is about 216.1608027561.

Adding to 10100220 its reverse (2200101), we get a palindrome (12300321).

The spelling of 10100220 in words is "ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 563 598 690 780 897 1126 1196 1380 1495 1689 1794 2252 2815 2990 3378 3588 4485 5630 5980 6756 7319 8445 8970 11260 12949 14638 16890 17940 21957 25898 29276 33780 36595 38847 43914 51796 64745 73190 77694 87828 109785 129490 146380 155388 168337 194235 219570 258980 336674 388470 439140 505011 673348 776940 841685 1010022 1683370 2020044 2525055 3366740 5050110 10100220