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2121251040 = 253251473091
BaseRepresentation
bin111111001101111…
…1011100011100000
312110211111201101100
41332123323203200
513321020013130
6550253434400
7103365223236
oct17633734340
95424451340
102121251040
11999433337
124b249ba00
1327a61b83c
14161a1c956
15c6363c60
hex7e6fb8e0

2121251040 has 72 divisors (see below), whose sum is σ = 7238774088. Its totient is φ = 565666560.

The previous prime is 2121250997. The next prime is 2121251053. The reversal of 2121251040 is 401521212.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 735106 + ... + 737985.

It is an arithmetic number, because the mean of its divisors is an integer number (100538529).

Almost surely, 22121251040 is an apocalyptic number.

2121251040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121251040 is an abundant number, since it is smaller than the sum of its proper divisors (5117523048).

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

2121251040 is a wasteful number, since it uses less digits than its factorization.

2121251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473112 (or 1473101 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2121251040 is about 46057.0411555063. The cubic root of 2121251040 is about 1284.8843007257.

Adding to 2121251040 its reverse (401521212), we get a palindrome (2522772252).

The spelling of 2121251040 in words is "two billion, one hundred twenty-one million, two hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1473091 2946182 4419273 5892364 7365455 8838546 11784728 13257819 14730910 17677092 22096365 23569456 26515638 29461820 35354184 44192730 47138912 53031276 58923640 66289095 70708368 88385460 106062552 117847280 132578190 141416736 176770920 212125104 235694560 265156380 353541840 424250208 530312760 707083680 1060625520 2121251040