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102401115513150 = 23521099029693661
BaseRepresentation
bin10111010010001000011110…
…000111010110000100111110
3111102120110011210202200121110
4113102020132013112010332
5101410214441032410100
61001442231213142450
730366144050225256
oct2722103607260476
9442513153680543
10102401115513150
112a6a008412a953
12b59a03248aa26
13451a4cb16b3ac
141b40351a80966
15bc8a4c093250
hex5d221e1d613e

102401115513150 has 96 divisors (see below), whose sum is σ = 256313380831200. Its totient is φ = 27053405913600.

The previous prime is 102401115513143. The next prime is 102401115513163. The reversal of 102401115513150 is 51315511104201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 147277320 + ... + 147970980.

It is an arithmetic number, because the mean of its divisors is an integer number (2669931050325).

Almost surely, 2102401115513150 is an apocalyptic number.

102401115513150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102401115513150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128156690415600).

102401115513150 is an abundant number, since it is smaller than the sum of its proper divisors (153912265318050).

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

102401115513150 is a wasteful number, since it uses less digits than its factorization.

102401115513150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702814 (or 702809 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

Adding to 102401115513150 its reverse (51315511104201), we get a palindrome (153716626617351).

The spelling of 102401115513150 in words is "one hundred two trillion, four hundred one billion, one hundred fifteen million, five hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 109 150 218 327 545 654 1090 1635 2725 3270 5450 8175 9029 16350 18058 27087 45145 54174 90290 135435 225725 270870 451450 677175 693661 984161 1354350 1387322 1968322 2080983 2952483 3468305 4161966 4920805 5904966 6936610 9841610 10404915 14762415 17341525 20809830 24604025 29524830 34683050 49208050 52024575 73812075 75609049 104049150 147624150 151218098 226827147 378045245 453654294 756090490 1134135735 1890226225 2268271470 3780452450 5670678675 6263065169 11341357350 12526130338 18789195507 31315325845 37578391014 62630651690 93945977535 156576629225 187891955070 313153258450 469729887675 682674103421 939459775350 1365348206842 2048022310263 3413370517105 4096044620526 6826741034210 10240111551315 17066852585525 20480223102630 34133705171050 51200557756575 102401115513150