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10122212114433 = 3343107353323063
BaseRepresentation
bin1001001101001100001011…
…0110111000000000000001
31022211200012100212220212000
42103103002312320000001
52311320242300130213
633310025142454213
72063206565233026
oct223230266700001
938750170786760
1010122212114433
113252895942491
121175904434369
1358569c726333
1426dcbc18754d
1512847e209c73
hex934c2db8001

10122212114433 has 64 divisors (see below), whose sum is σ = 15493074094080. Its totient is φ = 6527476597824.

The previous prime is 10122212114429. The next prime is 10122212114453. The reversal of 10122212114433 is 33441121222101.

10122212114433 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 2 + 1 + 211 + 443 + 3 = 666.

It is not a de Polignac number, because 10122212114433 - 22 = 10122212114429 is a prime.

It is a super-2 number, since 2×101222121144332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10122212114397 and 10122212114406.

It is not an unprimeable number, because it can be changed into a prime (10122212114453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438882460 + ... + 438905522.

It is an arithmetic number, because the mean of its divisors is an integer number (242079282720).

Almost surely, 210122212114433 is an apocalyptic number.

It is an amenable number.

10122212114433 is a deficient number, since it is larger than the sum of its proper divisors (5370861979647).

10122212114433 is a wasteful number, since it uses less digits than its factorization.

10122212114433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26755 (or 26749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10122212114433 its reverse (33441121222101), we get a palindrome (43563333336534).

The spelling of 10122212114433 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 43 107 129 321 387 963 1161 2889 3533 4601 10599 13803 23063 31797 41409 69189 95391 124227 151919 207567 378031 455757 622701 991709 1134093 1367271 2467741 2975127 3402279 4101813 7403223 8925381 10206837 16255333 22209669 26776143 48765999 66629007 81481579 106112863 146297997 244444737 318338589 438893991 733334211 955015767 2200002633 2865047301 3503707897 8718528953 10511123691 26155586859 31533371073 78466760577 94600113219 235400281731 374896744979 1124690234937 3374070704811 10122212114433