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102223213202001 = 31713125759535353
BaseRepresentation
bin10111001111100010110010…
…010011111000101001010001
3111101221102222111011220111110
4113033202302103320221101
5101344311120034431001
61001224410145203533
730350245342435143
oct2717426223705121
9441842874156443
10102223213202001
112a631691998421
12b56b6633305a9
1345067b8cb5a68
141b358b66ccc93
15bc40d8ae73d6
hex5cf8b24f8a51

102223213202001 has 32 divisors (see below), whose sum is σ = 145982593139328. Its totient is φ = 63402768465920.

The previous prime is 102223213201973. The next prime is 102223213202023. The reversal of 102223213202001 is 100202312322201.

102223213202001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 102223213202001 - 27 = 102223213201873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102223213202501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28050660 + ... + 31484693.

It is an arithmetic number, because the mean of its divisors is an integer number (4561956035604).

Almost surely, 2102223213202001 is an apocalyptic number.

It is an amenable number.

102223213202001 is a deficient number, since it is larger than the sum of its proper divisors (43759379937327).

102223213202001 is a wasteful number, since it uses less digits than its factorization.

102223213202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59535761.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102223213202001 its reverse (100202312322201), we get a palindrome (202425525524202).

The spelling of 102223213202001 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred two thousand, one".

Divisors: 1 3 17 51 131 257 393 771 2227 4369 6681 13107 33667 101001 572339 1717017 59535353 178606059 1012101001 3036303003 7799131243 15300585721 23397393729 45901757163 132585231131 260109957257 397755693393 780329871771 2004376729451 6013130188353 34074404400667 102223213202001