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3402112322202 = 231134143241639
BaseRepresentation
bin110001100000011101101…
…100100100101010011010
3110001020110001112201202120
4301200131230210222122
5421220011223302302
611122524150042110
7500536341412626
oct61403554445232
913036401481676
103402112322202
1110a1911793000
1246b428649336
131b8a82981929
14ba93d832186
155d76b7da9bc
hex3181db24a9a

3402112322202 has 128 divisors (see below), whose sum is σ = 7845003048960. Its totient is φ = 982403452800.

The previous prime is 3402112322183. The next prime is 3402112322227. The reversal of 3402112322202 is 2022232112043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13958499 + ... + 14200137.

It is an arithmetic number, because the mean of its divisors is an integer number (61289086320).

Almost surely, 23402112322202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402112322202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922501524480).

3402112322202 is an abundant number, since it is smaller than the sum of its proper divisors (4442890726758).

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

3402112322202 is a wasteful number, since it uses less digits than its factorization.

3402112322202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241761 (or 241739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3402112322202 its reverse (2022232112043), we get a palindrome (5424344434245).

The spelling of 3402112322202 in words is "three trillion, four hundred two billion, one hundred twelve million, three hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 41 43 66 82 86 121 123 129 242 246 258 363 451 473 726 902 946 1331 1353 1419 1763 2662 2706 2838 3526 3993 4961 5203 5289 7986 9922 10406 10578 14883 15609 19393 29766 31218 38786 54571 57233 58179 109142 114466 116358 163713 171699 213323 241639 327426 343398 426646 483278 639969 724917 1279938 1449834 2346553 2658029 4693106 5316058 7039659 7974087 9907199 10390477 14079318 15948174 19814398 20780954 29238319 29721597 31171431 58476638 59443194 62342862 87714957 108979189 114295247 175429914 217958378 228590494 321621509 326937567 342885741 426009557 643243018 653875134 685771482 852019114 964864527 1198771079 1257247717 1278028671 1929729054 2397542158 2514495434 2556057342 3596313237 3771743151 4686105127 7192626474 7543486302 9372210254 13186481869 13829724887 14058315381 26372963738 27659449774 28116630762 39559445607 41489174661 51547156397 79118891214 82978349322 103094312794 154641469191 309282938382 567018720367 1134037440734 1701056161101 3402112322202