Search a number
-
+
10120220220222 = 232780319208097
BaseRepresentation
bin1001001101000100110000…
…1000011001101100111110
31022211111001112210012200100
42103101030020121230332
52311302202334021342
633305055345341530
72063106330351210
oct223211410315476
938744045705610
1010120220220222
113251a63531922
1211754493378a6
13585442b595c8
1426db6d7dc5b0
151283b43e8e4c
hex9344c219b3e

10120220220222 has 24 divisors (see below), whose sum is σ = 25059592926576. Its totient is φ = 2891491491456.

The previous prime is 10120220220181. The next prime is 10120220220251. The reversal of 10120220220222 is 22202202202101.

10120220220222 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 220 + 220 + 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 = 10120220220195 and 10120220220204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40159603923 + ... + 40159604174.

It is an arithmetic number, because the mean of its divisors is an integer number (1044149705274).

Almost surely, 210120220220222 is an apocalyptic number.

10120220220222 is an abundant number, since it is smaller than the sum of its proper divisors (14939372706354).

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

10120220220222 is a wasteful number, since it uses less digits than its factorization.

10120220220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80319208112 (or 80319208109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10120220220222 its reverse (22202202202101), we get a palindrome (32322422422323).

The spelling of 10120220220222 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 80319208097 160638416194 240957624291 481915248582 562234456679 722872872873 1124468913358 1445745745746 1686703370037 3373406740074 5060110110111 10120220220222