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2120220230100 = 2235279239109279
BaseRepresentation
bin11110110110100110111…
…110010100000111010100
321111200122210102022100220
4132312212332110013110
5234214202334330400
64302003221434340
7306116014412520
oct36664676240724
97450583368326
102120220230100
117481a9056055
122a2ab556b9b0
13124c22269abb
1474895162d80
153a2424867a0
hex1eda6f941d4

2120220230100 has 144 divisors (see below), whose sum is σ = 7011684556800. Its totient is φ = 484564878720.

The previous prime is 2120220230053. The next prime is 2120220230111. The reversal of 2120220230100 is 10320220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120220230100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19347261 + ... + 19456539.

Almost surely, 22120220230100 is an apocalyptic number.

2120220230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120220230100 is an abundant number, since it is smaller than the sum of its proper divisors (4891464326700).

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

2120220230100 is a wasteful number, since it uses less digits than its factorization.

2120220230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118542 (or 118535 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2120220230100 its reverse (10320220212), we get a palindrome (2130540450312).

The spelling of 2120220230100 in words is "two trillion, one hundred twenty billion, two hundred twenty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 9239 18478 27717 36956 46195 55434 64673 92390 109279 110868 129346 138585 184780 194019 218558 230975 258692 277170 323365 327837 388038 437116 461950 546395 554340 646730 655674 692925 764953 776076 923900 970095 1092790 1293460 1311348 1385850 1529906 1616825 1639185 1940190 2185580 2294859 2731975 2771700 3059812 3233650 3278370 3824765 3880380 4589718 4850475 5463950 6467300 6556740 7649530 8195925 9179436 9700950 10927900 11474295 15299060 16391850 19123825 19401900 22948590 32783700 38247650 45897180 57371475 76495300 114742950 229485900 1009628681 2019257362 3028886043 4038514724 5048143405 6057772086 7067400767 10096286810 12115544172 14134801534 15144430215 20192573620 21202202301 25240717025 28269603068 30288860430 35337003835 42404404602 50481434050 60577720860 70674007670 75722151075 84808809204 100962868100 106011011505 141348015340 151444302150 176685019175 212022023010 302888604300 353370038350 424044046020 530055057525 706740076700 1060110115050 2120220230100