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2101121550 = 23252111073967
BaseRepresentation
bin111110100111100…
…1001001000001110
312102102122000220200
41331033021020032
513300341342200
6544254154330
7103032144543
oct17517111016
95372560820
102101121550
119890347a0
124a77b29a6
132763c14b8
1415d09cbca
15c46d9800
hex7d3c920e

2101121550 has 144 divisors (see below), whose sum is σ = 6217316352. Its totient is φ = 504475200.

The previous prime is 2101121497. The next prime is 2101121557. The reversal of 2101121550 is 551211012.

2101121550 is a `hidden beast` number, since 2 + 1 + 0 + 112 + 1 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527667 + ... + 531633.

It is an arithmetic number, because the mean of its divisors is an integer number (43175808).

Almost surely, 22101121550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101121550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108658176).

2101121550 is an abundant number, since it is smaller than the sum of its proper divisors (4116194802).

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

2101121550 is a wasteful number, since it uses less digits than its factorization.

2101121550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 2101121550 is about 45837.9924298611. The cubic root of 2101121550 is about 1280.8070979962.

Adding to 2101121550 its reverse (551211012), we get a palindrome (2652332562).

The spelling of 2101121550 in words is "two billion, one hundred one million, one hundred twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 107 110 150 165 198 214 225 275 321 330 450 495 535 550 642 825 963 990 1070 1177 1605 1650 1926 2354 2475 2675 3210 3531 3967 4815 4950 5350 5885 7062 7934 8025 9630 10593 11770 11901 16050 17655 19835 21186 23802 24075 29425 35310 35703 39670 43637 48150 52965 58850 59505 71406 87274 88275 99175 105930 119010 130911 176550 178515 198350 218185 261822 264825 297525 357030 392733 424469 436370 529650 595050 654555 785466 848938 892575 1090925 1273407 1309110 1785150 1963665 2122345 2181850 2546814 3272775 3820221 3927330 4244690 4669159 6367035 6545550 7640442 9338318 9818325 10611725 12734070 14007477 19101105 19636650 21223450 23345795 28014954 31835175 38202210 42022431 46691590 63670350 70037385 84044862 95505525 116728975 140074770 191011050 210112155 233457950 350186925 420224310 700373850 1050560775 2101121550