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121002001032 = 233114310659091
BaseRepresentation
bin111000010110001001…
…0000000001010001000
3102120022211121112111210
41300230102000022020
53440303003013112
6131330524453120
711512354016133
oct1605422001210
9376284545453
10121002001032
1147353525350
121b54b3aa1a0
13b5449752a3
145bdc45521a
153232e2eb3c
hex1c2c480288

121002001032 has 64 divisors (see below), whose sum is σ = 337680034560. Its totient is φ = 35814542400.

The previous prime is 121002000979. The next prime is 121002001037. The reversal of 121002001032 is 230100200121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121002000999 and 121002001017.

It is not an unprimeable number, because it can be changed into a prime (121002001037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5318194 + ... + 5340897.

It is an arithmetic number, because the mean of its divisors is an integer number (5276250540).

Almost surely, 2121002001032 is an apocalyptic number.

121002001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002001032 is an abundant number, since it is smaller than the sum of its proper divisors (216678033528).

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

121002001032 is a wasteful number, since it uses less digits than its factorization.

121002001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659154 (or 10659150 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121002001032 its reverse (230100200121), we get a palindrome (351102201153).

The spelling of 121002001032 in words is "one hundred twenty-one billion, two million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 10659091 21318182 31977273 42636364 63954546 85272728 117250001 127909092 234500002 255818184 351750003 458340913 469000004 703500006 916681826 938000008 1375022739 1407000012 1833363652 2750045478 2814000024 3666727304 5041750043 5500090956 10083500086 11000181912 15125250129 20167000172 30250500258 40334000344 60501000516 121002001032