Search a number
-
+
2101112010210 = 23517101225118121
BaseRepresentation
bin11110100100110100000…
…010001111010111100010
321102212100002221011110010
4132210310002033113202
5233411034133311320
64245123150145350
7304541341260603
oct36446402172742
97385302834403
102101112010210
11740092a54694
1229b2621b2256
1312319856b305
14739a1497daa
15399c4b71ae0
hex1e93408f5e2

2101112010210 has 128 divisors (see below), whose sum is σ = 5394853870848. Its totient is φ = 521856000000.

The previous prime is 2101112010197. The next prime is 2101112010251. The reversal of 2101112010210 is 120102111012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115939950 + ... + 115958070.

It is an arithmetic number, because the mean of its divisors is an integer number (42147295866).

Almost surely, 22101112010210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101112010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697426935424).

2101112010210 is an abundant number, since it is smaller than the sum of its proper divisors (3293741860638).

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

2101112010210 is a wasteful number, since it uses less digits than its factorization.

2101112010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101112010210 its reverse (120102111012), we get a palindrome (2221214121222).

The spelling of 2101112010210 in words is "two trillion, one hundred one billion, one hundred twelve million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 101 102 170 202 255 303 505 510 606 1010 1515 1717 2251 3030 3434 4502 5151 6753 8585 10302 11255 13506 17170 18121 22510 25755 33765 36242 38267 51510 54363 67530 76534 90605 108726 114801 181210 191335 227351 229602 271815 308057 382670 454702 543630 574005 616114 682053 924171 1136755 1148010 1364106 1540285 1830221 1848342 2273510 3080570 3410265 3660442 3864967 4620855 5490663 6820530 7729934 9151105 9241710 10981326 11594901 18302210 19324835 23189802 27453315 31113757 38649670 40790371 54906630 57974505 62227514 81580742 93341271 115949010 122371113 155568785 186682542 203951855 244742226 311137570 407903710 466706355 611855565 693436307 933412710 1223711130 1386872614 2080308921 3467181535 4119827471 4160617842 6934363070 8239654942 10401544605 12359482413 20599137355 20803089210 24718964826 41198274710 61797412065 70037067007 123594824130 140074134014 210111201021 350185335035 420222402042 700370670070 1050556005105 2101112010210