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2120103312435 = 3351719144733601
BaseRepresentation
bin11110110110100000000…
…000010011110000110011
321111200100122102021111000
4132312200000103300303
5234213432421444220
64301543443453043
7306113064546633
oct36664000236063
97450318367430
102120103312435
1174814905a089
122a2a82387183
13124c03c81b54
147488380a6c3
153a23708e390
hex1eda0013c33

2120103312435 has 128 divisors (see below), whose sum is σ = 4203852134400. Its totient is φ = 1007471001600.

The previous prime is 2120103312419. The next prime is 2120103312463. The reversal of 2120103312435 is 5342133010212.

2120103312435 is a `hidden beast` number, since 2 + 120 + 103 + 3 + 1 + 2 + 435 = 666.

It is not a de Polignac number, because 2120103312435 - 24 = 2120103312419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2120103312399 and 2120103312408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63079635 + ... + 63113235.

It is an arithmetic number, because the mean of its divisors is an integer number (32842594800).

Almost surely, 22120103312435 is an apocalyptic number.

2120103312435 is a deficient number, since it is larger than the sum of its proper divisors (2083748821965).

2120103312435 is a wasteful number, since it uses less digits than its factorization.

2120103312435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35098 (or 35092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2120103312435 its reverse (5342133010212), we get a palindrome (7462236322647).

The spelling of 2120103312435 in words is "two trillion, one hundred twenty billion, one hundred three million, three hundred twelve thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 85 95 135 153 171 255 285 323 459 513 765 855 969 1447 1615 2295 2565 2907 4341 4845 7235 8721 13023 14535 21705 24599 27493 33601 39069 43605 65115 73797 82479 100803 122995 137465 168005 195345 221391 247437 302409 368985 412395 467381 504015 571217 638419 664173 742311 907227 1106955 1237185 1402143 1512045 1713651 1915257 2336905 2856085 3192095 3320865 3711555 4206429 4536135 5140953 5745771 7010715 8568255 9576285 10853123 12619287 15422859 17237313 21032145 25704765 28728855 32559369 48620647 54265615 63096435 77114295 86186565 97678107 145861941 162796845 243103235 293034321 437585823 488390535 729309705 826550999 923792293 1312757469 1465171605 2187929115 2479652997 2771376879 4132754995 4618961465 6563787345 7438958991 8314130637 12398264985 13856884395 15704468981 22316876973 24942391911 37194794955 41570653185 47113406943 78522344905 111584384865 124711959555 141340220829 235567034715 424020662487 706701104145 2120103312435