Search a number
-
+
10102101222222 = 23217161872039501
BaseRepresentation
bin1001001100000001010000…
…1001111010001101001110
31022202202021210200202002100
42103000110021322031032
52311003100403102342
633252501412335530
72061565325410152
oct223002411721516
938682253622070
1010102101222222
113245305862509
121171a313145a6
13583816093209
1426cd31277062
15127ba3886e4c
hex9301427a34e

10102101222222 has 48 divisors (see below), whose sum is σ = 23176851779952. Its totient is φ = 3169089312000.

The previous prime is 10102101222221. The next prime is 10102101222253. The reversal of 10102101222222 is 22222210120101.

It is a happy number.

10102101222222 is a `hidden beast` number, since 1 + 0 + 10 + 210 + 1 + 222 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102101222195 and 10102101222204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102101222221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3933472 + ... + 5972972.

It is an arithmetic number, because the mean of its divisors is an integer number (482851078749).

Almost surely, 210102101222222 is an apocalyptic number.

10102101222222 is an abundant number, since it is smaller than the sum of its proper divisors (13074750557730).

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

10102101222222 is a wasteful number, since it uses less digits than its factorization.

10102101222222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055713 (or 2055710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10102101222222 its reverse (22222210120101), we get a palindrome (32324311342323).

The spelling of 10102101222222 in words is "ten trillion, one hundred two billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 16187 32374 48561 97122 145683 275179 291366 550358 825537 1651074 2039501 2476611 4079002 4953222 6118503 12237006 18355509 34671517 36711018 69343034 104014551 208029102 312043653 624087306 33013402687 66026805374 99040208061 198080416122 297120624183 561227845679 594241248366 1122455691358 1683683537037 3367367074074 5051050611111 10102101222222