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2101432040 = 2354147137199
BaseRepresentation
bin111110101000001…
…0100111011101000
312102110012210211022
41331100110323220
513300431311130
6544304552012
7103034610011
oct17520247350
95373183738
102101432040
11989226aa4
124a7922608
1327649c916
1415d140008
15c474b7e5
hex7d414ee8

2101432040 has 128 divisors (see below), whose sum is σ = 5007744000. Its totient is φ = 792760320.

The previous prime is 2101432027. The next prime is 2101432049. The reversal of 2101432040 is 402341012.

It is not an unprimeable number, because it can be changed into a prime (2101432049) 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, 10559861 + ... + 10560059.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 22101432040 is an apocalyptic number.

2101432040 is a gapful number since it is divisible by the number (20) 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 2101432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503872000).

2101432040 is an abundant number, since it is smaller than the sum of its proper divisors (2906311960).

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

2101432040 is a wasteful number, since it uses less digits than its factorization.

2101432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2101432040 is about 45841.3791241058. The cubic root of 2101432040 is about 1280.8701846540.

Adding to 2101432040 its reverse (402341012), we get a palindrome (2503773052).

The spelling of 2101432040 in words is "two billion, one hundred one million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 137 164 188 199 205 235 274 328 376 398 410 470 548 685 796 820 940 995 1096 1370 1592 1640 1880 1927 1990 2740 3854 3980 5480 5617 6439 7708 7960 8159 9353 9635 11234 12878 15416 16318 18706 19270 22468 25756 27263 28085 32195 32636 37412 38540 40795 44936 46765 51512 54526 56170 64390 65272 74824 77080 81590 93530 109052 112340 128780 136315 163180 187060 218104 224680 257560 263999 272630 326360 374120 383473 527998 545260 766946 1055996 1090520 1117783 1281361 1319995 1533892 1917365 2111992 2235566 2562722 2639990 3067784 3834730 4471132 5125444 5279980 5588915 6406805 7669460 8942264 10250888 10559960 11177830 12813610 15338920 22355660 25627220 44711320 51254440 52535801 105071602 210143204 262679005 420286408 525358010 1050716020 2101432040