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106252921161139 = 1924710765389627
BaseRepresentation
bin11000001010001011101111…
…100111110100010110110011
3111221012200100202122022001111
4120022023233213310112303
5102411321440304124024
61013551530152014151
731244343303100114
oct3012135747642663
9457180322568044
10106252921161139
1130945679a95435
12bb00640391357
1347397b880442c
141c3495137620b
15c43d37c40a94
hex60a2ef9f45b3

106252921161139 has 48 divisors (see below), whose sum is σ = 115774102338048. Its totient is φ = 97447659585984.

The previous prime is 106252921161113. The next prime is 106252921161199. The reversal of 106252921161139 is 931161129252601.

It is not a de Polignac number, because 106252921161139 - 219 = 106252920636851 is a prime.

It is a super-2 number, since 2×1062529211611392 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106252921161092 and 106252921161101.

It is not an unprimeable number, because it can be changed into a prime (106252921161109) 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, 1185456444 + ... + 1185546070.

It is an arithmetic number, because the mean of its divisors is an integer number (2411960465376).

Almost surely, 2106252921161139 is an apocalyptic number.

106252921161139 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106252921161139 is a deficient number, since it is larger than the sum of its proper divisors (9521181176909).

106252921161139 is a wasteful number, since it uses less digits than its factorization.

106252921161139 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90472 (or 90453 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

The spelling of 106252921161139 in words is "one hundred six trillion, two hundred fifty-two billion, nine hundred twenty-one million, one hundred sixty-one thousand, one hundred thirty-nine".

Divisors: 1 19 47 107 361 653 893 2033 5029 12407 16967 30691 38627 69871 89627 95551 235733 583129 1327549 1702913 1815469 3283937 4212469 9590089 11079451 25223431 32355347 58526431 62394803 80036911 182211691 450734183 1112002189 1185501257 1520701309 2750742257 3462022129 6262328117 8563949477 21128041591 52264102883 118984234223 162715040063 294329421499 993017954777 2260700450237 5592259008481 106252921161139