Search a number
-
+
2120972106 = 2311191311541
BaseRepresentation
bin111111001101011…
…0111011101001010
312110210222112202110
41332122313131022
513320432101411
6550243443150
7103362652101
oct17632673512
95423875673
102120972106
11999262810
124b23864b6
1327a5518a6
14161989038
15c630b2a6
hex7e6b774a

2120972106 has 64 divisors (see below), whose sum is σ = 4675387392. Its totient is φ = 636120000.

The previous prime is 2120972099. The next prime is 2120972111. The reversal of 2120972106 is 6012790212.

It is a super-3 number, since 3×21209721063 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920196 + ... + 3920736.

It is an arithmetic number, because the mean of its divisors is an integer number (73052928).

Almost surely, 22120972106 is an apocalyptic number.

2120972106 is an abundant number, since it is smaller than the sum of its proper divisors (2554415286).

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

2120972106 is a wasteful number, since it uses less digits than its factorization.

2120972106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2120972106 is about 46054.0129196143. The cubic root of 2120972106 is about 1284.8279796175.

The spelling of 2120972106 in words is "two billion, one hundred twenty million, nine hundred seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 191 311 382 541 573 622 933 1082 1146 1623 1866 2101 3246 3421 4202 5951 6303 6842 10263 11902 12606 17853 20526 35706 59401 103331 118802 168251 178203 206662 309993 336502 356406 504753 619986 653411 1009506 1136641 1306822 1850761 1960233 2273282 3409923 3701522 3920466 5552283 6819846 11104566 32135941 64271882 96407823 192815646 353495351 706990702 1060486053 2120972106