Search a number
-
+
2131212022002 = 232726193903619
BaseRepresentation
bin11111000000110110001…
…000101011000011110010
321112202000211102012012200
4133000312020223003302
5234404210234201002
64311022034004030
7306655264201200
oct37006610530362
97482024365180
102131212022002
11751929697a98
122a5062716616
13125c8457c38b
1475218cd8070
153a687453b1c
hex1f03622b0f2

2131212022002 has 72 divisors (see below), whose sum is σ = 5380203301200. Its totient is φ = 607933852848.

The previous prime is 2131212021979. The next prime is 2131212022031. The reversal of 2131212022002 is 2002202121312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 1405852 + ... + 2497767.

It is an arithmetic number, because the mean of its divisors is an integer number (74725045850).

Almost surely, 22131212022002 is an apocalyptic number.

2131212022002 is an abundant number, since it is smaller than the sum of its proper divisors (3248991279198).

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

2131212022002 is a wasteful number, since it uses less digits than its factorization.

2131212022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904260 (or 3904250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2131212022002 its reverse (2002202121312), we get a palindrome (4133414143314).

The spelling of 2131212022002 in words is "two trillion, one hundred thirty-one billion, two hundred twelve million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 619 882 1238 1857 3714 4333 5571 8666 11142 12999 25998 30331 38997 60662 77994 90993 181986 272979 545958 3903619 7807238 11710857 23421714 27325333 35132571 54650666 70265142 81975999 163951998 191277331 245927997 382554662 491855994 573831993 1147663986 1721495979 2416340161 3442991958 4832680322 7249020483 14498040966 16914381127 21747061449 33828762254 43494122898 50743143381 101486286762 118400667889 152229430143 236801335778 304458860286 355202003667 710404007334 1065606011001 2131212022002