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1020400002402 = 2311435327125033
BaseRepresentation
bin11101101100101001001…
…01000110010101100010
310121112211102121220212120
432312110211012111202
5113204234400034102
62100433145205110
7133502314624464
oct16662445062542
93545742556776
101020400002402
11363827221710
12145915a90796
13752b97b5b91
143755d8d4134
151b8226966bc
hexed94946562

1020400002402 has 128 divisors (see below), whose sum is σ = 2329743347712. Its totient is φ = 295217395200.

The previous prime is 1020400002383. The next prime is 1020400002407. The reversal of 1020400002402 is 2042000040201.

It is not an unprimeable number, because it can be changed into a prime (1020400002407) by changing a digit.

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, 40749678 + ... + 40774710.

It is an arithmetic number, because the mean of its divisors is an integer number (18201119904).

Almost surely, 21020400002402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020400002402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164871673856).

1020400002402 is an abundant number, since it is smaller than the sum of its proper divisors (1309343345310).

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

1020400002402 is a wasteful number, since it uses less digits than its factorization.

1020400002402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25416.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 1020400002402 its reverse (2042000040201), we get a palindrome (3062400042603).

The spelling of 1020400002402 in words is "one trillion, twenty billion, four hundred million, two thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 43 53 66 86 106 129 159 258 271 318 473 542 583 813 946 1166 1419 1626 1749 2279 2838 2981 3498 4558 5962 6837 8943 11653 13674 14363 17886 23306 25033 25069 28726 34959 43089 50066 50138 69918 75099 75207 86178 128183 150198 150414 157993 256366 275363 315986 384549 473979 550726 617609 769098 826089 947958 1076419 1235218 1326749 1652178 1852827 2152838 2653498 3229257 3705654 3980247 6458514 6783943 6793699 7960494 11840609 13567886 13587398 14594239 20351829 20381097 23681218 29188478 35521827 40703658 40762194 43782717 57050207 71043654 74623373 87565434 114100414 149246746 171150621 223870119 291709549 342301242 359548979 447740238 583419098 627552277 719097958 875128647 1078646937 1255104554 1750257294 1882656831 2157293874 3208805039 3765313662 3955038769 6417610078 7910077538 9626415117 11865116307 15460606097 19252830234 23730232614 30921212194 46381818291 92763636582 170066667067 340133334134 510200001201 1020400002402