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10122212022201 = 35296072366369
BaseRepresentation
bin1001001101001100001011…
…0110100001011110111001
31022211200012100201020100000
42103103002312201132321
52311320242234202301
633310025140503213
72063206564400106
oct223230266413671
938750170636300
1010122212022201
11325289588a164
1211759043aab09
1358569c6c3366
1426dcbc161aad
1512847e1dc786
hex934c2da17b9

10122212022201 has 48 divisors (see below), whose sum is σ = 15711182323200. Its totient is φ = 6504710220288.

The previous prime is 10122212022191. The next prime is 10122212022227. The reversal of 10122212022201 is 10222021222101.

It is a happy number.

10122212022201 is a `hidden beast` number, since 10 + 12 + 221 + 202 + 220 + 1 = 666.

10122212022201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122212022201 - 214 = 10122212005817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122212012201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3094345 + ... + 5460713.

It is an arithmetic number, because the mean of its divisors is an integer number (327316298400).

Almost surely, 210122212022201 is an apocalyptic number.

It is an amenable number.

10122212022201 is a deficient number, since it is larger than the sum of its proper divisors (5588970300999).

10122212022201 is an equidigital number, since it uses as much as digits as its factorization.

10122212022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367020 (or 2367008 counting only the distinct ones).

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

Adding to 10122212022201 its reverse (10222021222101), we get a palindrome (20344233244302).

The spelling of 10122212022201 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 27 29 81 87 243 261 607 783 1821 2349 5463 7047 16389 17603 49167 52809 147501 158427 475281 1425843 2366369 4277529 7099107 21297321 63891963 68624701 191675889 205874103 575027667 617622309 1436385983 1852866927 4309157949 5558600781 12927473847 16675802343 38782421541 41655193507 116347264623 124965580521 349041793869 374896741563 1124690224689 3374070674067 10122212022201