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2220132113430 = 2357112779134583
BaseRepresentation
bin100000010011101010001…
…011111001110000010110
321212020112211020212021020
4200103222023321300112
5242333312310112210
64415525320102010
7316253641411230
oct40235213716026
97766484225236
102220132113430
11786609776860
122ba339904906
131314857368aa
1479652607250
153cb3dab7770
hex204ea2f9c16

2220132113430 has 128 divisors (see below), whose sum is σ = 6643527745536. Its totient is φ = 461296214400.

The previous prime is 2220132113387. The next prime is 2220132113431. The reversal of 2220132113430 is 343112310222.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220132113430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220132113431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 64179919 + ... + 64214501.

It is an arithmetic number, because the mean of its divisors is an integer number (51902560512).

Almost surely, 22220132113430 is an apocalyptic number.

2220132113430 is an abundant number, since it is smaller than the sum of its proper divisors (4423395632106).

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

2220132113430 is a wasteful number, since it uses less digits than its factorization.

2220132113430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62402.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2220132113430 its reverse (343112310222), we get a palindrome (2563244423652).

The spelling of 2220132113430 in words is "two trillion, two hundred twenty billion, one hundred thirty-two million, one hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 27791 34583 55582 69166 83373 103749 138955 166746 172915 194537 207498 242081 277910 305701 345830 380413 389074 416865 484162 518745 583611 611402 726243 760826 833730 917103 972685 1037490 1141239 1167222 1210405 1452486 1528505 1834206 1902065 1945370 2139907 2282478 2420810 2662891 2918055 3057010 3631215 3804130 4279814 4585515 5325782 5706195 5836110 6419721 7262430 7988673 9171030 10699535 11412390 12839442 13314455 15977346 21399070 26628910 32098605 39943365 64197210 79886730 961096153 1922192306 2883288459 4805480765 5766576918 6727673071 9610961530 10572057683 13455346142 14416442295 20183019213 21144115366 28832884590 31716173049 33638365355 40366038426 52860288415 63432346098 67276730710 74004403781 100915096065 105720576830 148008807562 158580865245 201830192130 222013211343 317161730490 370022018905 444026422686 740044037810 1110066056715 2220132113430