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3341212202100 = 22352831036912941
BaseRepresentation
bin110000100111101111110…
…001000011010001110100
3102211102020211020002100210
4300213233301003101310
5414220300310431400
611034533125105420
7463252232056233
oct60475761032164
912742224202323
103341212202100
111079000201433
1245b671258270
131b30c88b84c6
14b7a035d0b1a
155bda5035950
hex309efc43474

3341212202100 has 144 divisors (see below), whose sum is σ = 9785413068480. Its totient is φ = 880102195200.

The previous prime is 3341212202059. The next prime is 3341212202113. The reversal of 3341212202100 is 12022121433.

3341212202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33412122021002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258181630 + ... + 258194570.

It is an arithmetic number, because the mean of its divisors is an integer number (67954257420).

Almost surely, 23341212202100 is an apocalyptic number.

3341212202100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341212202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892706534240).

3341212202100 is an abundant number, since it is smaller than the sum of its proper divisors (6444200866380).

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

3341212202100 is a wasteful number, since it uses less digits than its factorization.

3341212202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23410 (or 23403 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3341212202100 its reverse (12022121433), we get a palindrome (3353234323533).

The spelling of 3341212202100 in words is "three trillion, three hundred forty-one billion, two hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 10369 12450 12941 20738 24900 25882 31107 38823 41476 51764 51845 62214 64705 77646 103690 124428 129410 155292 155535 194115 207380 258820 259225 311070 323525 388230 518450 622140 647050 776460 777675 860627 970575 1036900 1074103 1294100 1555350 1721254 1941150 2148206 2581881 3110700 3222309 3442508 3882300 4296412 4303135 5163762 5370515 6444618 8606270 10327524 10741030 12889236 12909405 16111545 17212540 21482060 21515675 25818810 26852575 32223090 43031350 51637620 53705150 64446180 64547025 80557725 86062700 107410300 129094050 134185229 161115450 258188100 268370458 322230900 402555687 536740916 670926145 805111374 1341852290 1610222748 2012778435 2683704580 3354630725 4025556870 6709261450 8051113740 10063892175 11137374007 13418522900 20127784350 22274748014 33412122021 40255568700 44549496028 55686870035 66824244042 111373740070 133648488084 167060610105 222747480140 278434350175 334121220210 556868700350 668242440420 835303050525 1113737400700 1670606101050 3341212202100