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2100244032 = 26332941911
BaseRepresentation
bin111110100101111…
…0010111001000000
312102100222110012000
41331023302321000
513300130302112
6544223304000
7103021531305
oct17513627100
95370873160
102100244032
11988595477
124a744b000
13276174c63
1415cd110ac
15c45b47dc
hex7d2f2e40

2100244032 has 112 divisors (see below), whose sum is σ = 6387388800. Its totient is φ = 675924480.

The previous prime is 2100244019. The next prime is 2100244033. The reversal of 2100244032 is 2304420012.

It is a super-2 number, since 2×21002440322 = 8822049987903234048, which contains 22 as substring.

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 = 2100243996 and 2100244014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100244033) 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, 29157 + ... + 71067.

Almost surely, 22100244032 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 2100244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193694400).

2100244032 is an abundant number, since it is smaller than the sum of its proper divisors (4287144768).

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

2100244032 is a wasteful number, since it uses less digits than its factorization.

2100244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41961 (or 41945 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2100244032 is about 45828.4194796198. The cubic root of 2100244032 is about 1280.6287666051.

Adding to 2100244032 its reverse (2304420012), we get a palindrome (4404664044).

The spelling of 2100244032 in words is "two billion, one hundred million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 16704 25056 41911 50112 83822 125733 167644 251466 335288 377199 502932 670576 754398 1005864 1131597 1215419 1341152 1508796 2011728 2263194 2430838 2682304 3017592 3646257 4023456 4526388 4861676 6035184 7292514 8046912 9052776 9723352 10938771 12070368 14585028 18105552 19446704 21877542 24140736 29170056 32816313 36211104 38893408 43755084 58340112 65632626 72422208 77786816 87510168 116680224 131265252 175020336 233360448 262530504 350040672 525061008 700081344 1050122016 2100244032