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2101111992 = 2332728314731
BaseRepresentation
bin111110100111100…
…0110110010111000
312102102121112210200
41331033012302320
513300341040432
6544254042200
7103032104640
oct17517066270
95372545720
102101111992
119890285a1
124a77a9360
132763ba045
1415d099520
15c46d6a7c
hex7d3c6cb8

2101111992 has 96 divisors (see below), whose sum is σ = 6526865280. Its totient is φ = 598155840.

The previous prime is 2101111963. The next prime is 2101111993. The reversal of 2101111992 is 2991111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101111993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135267 + ... + 149997.

It is an arithmetic number, because the mean of its divisors is an integer number (67988180).

Almost surely, 22101111992 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 2101111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263432640).

2101111992 is an abundant number, since it is smaller than the sum of its proper divisors (4425753288).

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

2101111992 is a wasteful number, since it uses less digits than its factorization.

2101111992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15033 (or 15026 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The square root of 2101111992 is about 45837.8881712498. Note that the first 3 decimals coincide. The cubic root of 2101111992 is about 1280.8051558631.

The spelling of 2101111992 in words is "two billion, one hundred one million, one hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 283 504 566 849 1132 1698 1981 2264 2547 3396 3962 5094 5943 6792 7924 10188 11886 14731 15848 17829 20376 23772 29462 35658 44193 47544 58924 71316 88386 103117 117848 132579 142632 176772 206234 265158 309351 353544 412468 530316 618702 824936 928053 1060632 1237404 1856106 2474808 3712212 4168873 7424424 8337746 12506619 16675492 25013238 29182111 33350984 37519857 50026476 58364222 75039714 87546333 100052952 116728444 150079428 175092666 233456888 262638999 300158856 350185332 525277998 700370664 1050555996 2101111992