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3413121102402 = 2311196745978837
BaseRepresentation
bin110001101010101101110…
…111101111001001000010
3110002021212021111201011120
4301222231313233021002
5421410033000234102
611131544410253110
7501406215455004
oct61525567571102
913067767451146
103413121102402
1110a6550978560
1247159b427196
131b9b1866185b
14bb2a594a374
155dbb30116bc
hex31aaddef242

3413121102402 has 128 divisors (see below), whose sum is σ = 7958374364160. Its totient is φ = 964899682560.

The previous prime is 3413121102361. The next prime is 3413121102403. The reversal of 3413121102402 is 2042011213143.

It is not an unprimeable number, because it can be changed into a prime (3413121102403) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 386226328 + ... + 386235164.

It is an arithmetic number, because the mean of its divisors is an integer number (62174799720).

Almost surely, 23413121102402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413121102402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979187182080).

3413121102402 is an abundant number, since it is smaller than the sum of its proper divisors (4545253261758).

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

3413121102402 is a wasteful number, since it uses less digits than its factorization.

3413121102402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13536.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3413121102402 its reverse (2042011213143), we get a palindrome (5455132315545).

The spelling of 3413121102402 in words is "three trillion, four hundred thirteen billion, one hundred twenty-one million, one hundred two thousand, four hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 114 134 201 209 402 418 627 737 1254 1273 1474 2211 2546 3819 4422 4597 7638 8837 9194 13791 14003 17674 26511 27582 28006 42009 50567 53022 84018 87343 97207 101134 151701 167903 174686 194414 262029 291621 303402 307999 335806 503709 524058 583242 592079 615998 923997 960773 1007418 1184158 1776237 1846933 1847994 1921546 2882319 3387989 3552474 3693866 5540799 5764638 5851981 6512869 6775978 10163967 11081598 11249501 11703962 13025738 17555943 19538607 20327934 22499002 33748503 35111886 39077214 40623689 64371791 67497006 81247378 121871067 123744511 128743582 193115373 243742134 247489022 371233533 386230746 446860579 742467066 771850091 893721158 1340581737 1543700182 2315550273 2681163474 2721787163 4631100546 5443574326 8165361489 8490351001 16330722978 16980702002 25471053003 29939658793 50942106006 51713956097 59879317586 89818976379 103427912194 155141868291 179637952758 310283736582 568853517067 1137707034134 1706560551201 3413121102402