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2101091832 = 233375232657
BaseRepresentation
bin111110100111100…
…0001110111111000
312102102120112011000
41331033001313320
513300334414312
6544253405000
7103031662110
oct17517016770
95372515130
102101091832
11989014434
124a7799760
132763b0b08
1415d092040
15c46d0adc
hex7d3c1df8

2101091832 has 128 divisors (see below), whose sum is σ = 6685401600. Its totient is φ = 598938624.

The previous prime is 2101091831. The next prime is 2101091833. The reversal of 2101091832 is 2381901012.

It is an interprime number because it is at equal distance from previous prime (2101091831) and next prime (2101091833).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2101091796 and 2101091805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101091831) 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 31 ways as a sum of consecutive naturals, for example, 789448 + ... + 792104.

It is an arithmetic number, because the mean of its divisors is an integer number (52229700).

Almost surely, 22101091832 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 2101091832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342700800).

2101091832 is an abundant number, since it is smaller than the sum of its proper divisors (4584309768).

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

2101091832 is a wasteful number, since it uses less digits than its factorization.

2101091832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2101091832 is about 45837.6682653034. The cubic root of 2101091832 is about 1280.8010594426.

Adding to 2101091832 its reverse (2381901012), we get a palindrome (4482992844).

The spelling of 2101091832 in words is "two billion, one hundred one million, ninety-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 523 756 1046 1512 1569 2092 2657 3138 3661 4184 4707 5314 6276 7322 7971 9414 10628 10983 12552 14121 14644 15942 18599 18828 21256 21966 23913 28242 29288 31884 32949 37198 37656 43932 47826 55797 56484 63768 65898 71739 74396 87864 95652 98847 111594 112968 131796 143478 148792 167391 191304 197694 223188 263592 286956 334782 395388 446376 502173 573912 669564 790776 1004346 1339128 1389611 2008692 2779222 4017384 4168833 5558444 8337666 9727277 11116888 12506499 16675332 19454554 25012998 29181831 33350664 37519497 38909108 50025996 58363662 75038994 77818216 87545493 100051992 116727324 150077988 175090986 233454648 262636479 300155976 350181972 525272958 700363944 1050545916 2101091832