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2121020190 = 2325374331471
BaseRepresentation
bin111111001101100…
…0011001100011110
312110211001222201100
41332123003030132
513320440121230
6550244453530
7103363242222
oct17633031436
95424058640
102121020190
11999295953
124b23aa2a6
1327a56a743
1416199c782
15c631a660
hex7e6c331e

2121020190 has 96 divisors (see below), whose sum is σ = 5680636416. Its totient is φ = 548674560.

The previous prime is 2121020173. The next prime is 2121020191. The reversal of 2121020190 is 910201212.

It is a super-2 number, since 2×21210201902 = 8997453292775272200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121020191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441155 + ... + 1442625.

It is an arithmetic number, because the mean of its divisors is an integer number (59173296).

Almost surely, 22121020190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121020190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840318208).

2121020190 is an abundant number, since it is smaller than the sum of its proper divisors (3559616226).

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

2121020190 is a wasteful number, since it uses less digits than its factorization.

2121020190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2121020190 is about 46054.5349558542. The cubic root of 2121020190 is about 1284.8376888764.

The spelling of 2121020190 in words is "two billion, one hundred twenty-one million, twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 433 555 666 866 1110 1299 1471 1665 2165 2598 2942 3330 3897 4330 4413 6495 7355 7794 8826 12990 13239 14710 16021 19485 22065 26478 32042 38970 44130 48063 54427 66195 80105 96126 108854 132390 144189 160210 163281 240315 272135 288378 326562 480630 489843 544270 636943 720945 816405 979686 1273886 1441890 1632810 1910829 2449215 3184715 3821658 4898430 5732487 6369430 9554145 11464974 19108290 23566891 28662435 47133782 57324870 70700673 117834455 141401346 212102019 235668910 353503365 424204038 707006730 1060510095 2121020190