Search a number
-
+
102001201224312 = 233131024331917107
BaseRepresentation
bin10111001100010100000001…
…010111011001101001111000
3111101011012221002110220020010
4113030110001113121221320
5101332141430003134222
61000534412134101520
730325225565655105
oct2714240127315170
9441135832426203
10102001201224312
112a556514a1a625
12b534623aaa8a0
1344bb89750cb20
141b28c5502daac
15bbd442e7a80c
hex5cc5015d9a78

102001201224312 has 64 divisors (see below), whose sum is σ = 274645437655680. Its totient is φ = 31381919966592.

The previous prime is 102001201224289. The next prime is 102001201224353. The reversal of 102001201224312 is 213422102100201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12762738 + ... + 19154369.

It is an arithmetic number, because the mean of its divisors is an integer number (4291334963370).

Almost surely, 2102001201224312 is an apocalyptic number.

102001201224312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001201224312 is an abundant number, since it is smaller than the sum of its proper divisors (172644236431368).

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

102001201224312 is a wasteful number, since it uses less digits than its factorization.

102001201224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31927372 (or 31927368 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102001201224312 its reverse (213422102100201), we get a palindrome (315423303324513).

The spelling of 102001201224312 in words is "one hundred two trillion, one billion, two hundred one million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 10243 20486 30729 40972 61458 81944 122916 133159 245832 266318 399477 532636 798954 1065272 1597908 3195816 31917107 63834214 95751321 127668428 191502642 255336856 383005284 414922391 766010568 829844782 1244767173 1659689564 2489534346 3319379128 4979068692 9958137384 326926927001 653853854002 980780781003 1307707708004 1961561562006 2615415416008 3923123124012 4250050051013 7846246248024 8500100102026 12750150153039 17000200204052 25500300306078 34000400408104 51000600612156 102001201224312