Search a number
-
+
102211221001212 = 223217915861455773
BaseRepresentation
bin10111001111010111100111…
…100001010001001111111100
3111101220022000201201222122200
4113033113213201101033330
5101344112040034014322
61001215104154511500
730346342224423501
oct2717274741211774
9441808021658580
10102211221001212
112a627598683484
12b569277135590
13450562765216b
141b35099b414a8
15bc3b35db78ac
hex5cf5e78513fc

102211221001212 has 36 divisors (see below), whose sum is σ = 259810645578120. Its totient is φ = 33880069528992.

The previous prime is 102211221001139. The next prime is 102211221001213. The reversal of 102211221001212 is 212100122112201.

102211221001212 is a `hidden beast` number, since 10 + 221 + 1 + 221 + 0 + 0 + 1 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211221001213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7930721443 + ... + 7930734330.

It is an arithmetic number, because the mean of its divisors is an integer number (7216962377170).

Almost surely, 2102211221001212 is an apocalyptic number.

102211221001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211221001212 is an abundant number, since it is smaller than the sum of its proper divisors (157599424576908).

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

102211221001212 is a wasteful number, since it uses less digits than its factorization.

102211221001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15861455962 (or 15861455957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211221001212 its reverse (212100122112201), we get a palindrome (314311343113413).

The spelling of 102211221001212 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-one million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 15861455773 31722911546 47584367319 63445823092 95168734638 142753101957 190337469276 285506203914 571012407828 2839200583367 5678401166734 8517601750101 11356802333468 17035203500202 25552805250303 34070407000404 51105610500606 102211221001212