Search a number
-
+
2213025111045 = 325717391944189
BaseRepresentation
bin100000001101000010100…
…100110101110000000101
321211120012112011201210200
4200031002210311300011
5242224233412023140
64412352200241113
7315612553033530
oct40150244656005
97746175151720
102213025111045
117835a1a88771
122b8a95770199
131308c2207b38
147917a795a17
153c874bb4030
hex20342935c05

2213025111045 has 96 divisors (see below), whose sum is σ = 4414135564800. Its totient is φ = 1004703616512.

The previous prime is 2213025111007. The next prime is 2213025111049. The reversal of 2213025111045 is 5401115203122.

It is a happy number.

2213025111045 is a `hidden beast` number, since 2 + 2 + 130 + 2 + 511 + 10 + 4 + 5 = 666.

It is not a de Polignac number, because 2213025111045 - 29 = 2213025110533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213025111049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50058811 + ... + 50102999.

It is an arithmetic number, because the mean of its divisors is an integer number (45980578800).

Almost surely, 22213025111045 is an apocalyptic number.

It is an amenable number.

2213025111045 is a deficient number, since it is larger than the sum of its proper divisors (2201110453755).

2213025111045 is a wasteful number, since it uses less digits than its factorization.

2213025111045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45299 (or 45296 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2213025111045 in words is "two trillion, two hundred thirteen billion, twenty-five million, one hundred eleven thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 173 315 519 865 919 1211 1557 2595 2757 3633 4595 6055 6433 7785 8271 10899 13785 18165 19299 32165 41355 44189 54495 57897 96495 132567 158987 220945 289485 309323 397701 476961 662835 794935 927969 1112909 1430883 1546615 1988505 2384805 2783907 3338727 4639845 5564545 7154415 7644697 10016181 13919535 16693635 22934091 38223485 40609691 50080905 53512879 68802273 114670455 121829073 160538637 203048455 267564395 284267837 344011365 365487219 481615911 609145365 802693185 852803511 1421339185 1827436095 2408079555 2558410533 4264017555 7025476543 12792052665 21076429629 35127382715 49178335801 63229288887 105382148145 147535007403 245891679005 316146444435 442605022209 737675037015 2213025111045