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1002221202010 = 257234499911399
BaseRepresentation
bin11101001010110010000…
…10011110101001011010
310112210220112000011211011
432211121002132221122
5112410022111431020
62044225234324134
7132256655441440
oct16453102365132
93483815004734
101002221202010
11357048816936
121422a1a2964a
1373680511762
1436717442b90
151b10b77035a
hexe95909ea5a

1002221202010 has 128 divisors (see below), whose sum is σ = 2159861760000. Its totient is φ = 327381626880.

The previous prime is 1002221202007. The next prime is 1002221202011. The reversal of 1002221202010 is 102021222001.

It is a happy number.

1002221202010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002221202011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716383291 + ... + 716384689.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920000).

Almost surely, 21002221202010 is an apocalyptic number.

1002221202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002221202010 is an abundant number, since it is smaller than the sum of its proper divisors (1157640557990).

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

1002221202010 is a wasteful number, since it uses less digits than its factorization.

1002221202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002221202010 its reverse (102021222001), we get a palindrome (1104242424011).

The spelling of 1002221202010 in words is "one trillion, two billion, two hundred twenty-one million, two hundred two thousand, ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 449 805 898 991 1399 1610 1982 2245 2798 3143 4490 4955 6286 6937 6995 9793 9910 10327 13874 13990 15715 19586 20654 22793 31430 32177 34685 45586 48965 51635 64354 69370 72289 97930 103270 113965 144578 159551 160885 225239 227930 319102 321770 361445 444959 450478 628151 722890 797755 889918 1126195 1256302 1386409 1595510 2224795 2252390 2772818 3114713 3140755 4397057 4449590 6229426 6281510 6932045 8794114 9704863 10234057 13864090 14447473 15573565 19409726 20468114 21985285 28894946 31147130 31887407 43970570 48524315 51170285 63774814 71638399 72237365 97048630 101132311 102340570 143276798 144474730 159437035 202264622 223211849 318874070 358191995 446423698 505661555 622497641 716383990 1011323110 1116059245 1244995282 2232118490 3112488205 4357483487 6224976410 8714966974 14317445743 21787417435 28634891486 43574834870 71587228715 100222120201 143174457430 200444240402 501110601005 1002221202010