Search a number
-
+
102100202001212 = 222322712593883177
BaseRepresentation
bin10111001101110000001110…
…010001011001001100111100
3111101111200110121220110001212
4113031300032101121030330
5101340302203203014322
61001052104004223552
730335332120456532
oct2715601621311474
9441450417813055
10102100202001212
112a5944a8312608
12b54b85309abb8
1344c8013cc4b9c
141b2d9674a6152
15bc0cd95d90e2
hex5cdc0e45933c

102100202001212 has 48 divisors (see below), whose sum is σ = 187413975141120. Its totient is φ = 48576792097152.

The previous prime is 102100202001209. The next prime is 102100202001241. The reversal of 102100202001212 is 212100202001201.

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 15 ways as a sum of consecutive naturals, for example, 24351368 + ... + 28234544.

It is an arithmetic number, because the mean of its divisors is an integer number (3904457815440).

Almost surely, 2102100202001212 is an apocalyptic number.

It is an amenable number.

102100202001212 is a deficient number, since it is larger than the sum of its proper divisors (85313773139908).

102100202001212 is a wasteful number, since it uses less digits than its factorization.

102100202001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884690 (or 3884688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100202001212 its reverse (212100202001201), we get a palindrome (314200404002413).

The spelling of 102100202001212 in words is "one hundred two trillion, one hundred billion, two hundred two million, one thousand, two hundred twelve".

Divisors: 1 2 4 23 46 92 227 454 908 1259 2518 5036 5221 10442 20884 28957 57914 115828 285793 571586 1143172 3883177 6573239 7766354 13146478 15532708 26292956 89313071 178626142 357252284 881481179 1762962358 3525924716 4888919843 9777839686 19555679372 20274067117 40548134234 81096268468 112445156389 224890312778 449780625556 1109784804361 2219569608722 4439139217444 25525050500303 51050101000606 102100202001212