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106422116952 = 23322319884551
BaseRepresentation
bin110001100011101000…
…0001010001001011000
3101011200201222200112010
41203013100022021120
53220423030220302
6120520055145520
710455145032354
oct1430720121130
9334621880463
10106422116952
1141151568678
12187606752a0
13a060191948
145217d50464
152b7ce5416c
hex18c740a258

106422116952 has 32 divisors (see below), whose sum is σ = 267248378880. Its totient is φ = 35314960800.

The previous prime is 106422116951. The next prime is 106422116971. The reversal of 106422116952 is 259611224601.

It is a super-2 number, since 2×1064221169522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106422116952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106422116951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9936924 + ... + 9947627.

It is an arithmetic number, because the mean of its divisors is an integer number (8351511840).

Almost surely, 2106422116952 is an apocalyptic number.

106422116952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106422116952 is an abundant number, since it is smaller than the sum of its proper divisors (160826261928).

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

106422116952 is a wasteful number, since it uses less digits than its factorization.

106422116952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19884783 (or 19884779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 106422116952 in words is "one hundred six billion, four hundred twenty-two million, one hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 892 1338 1784 2676 5352 19884551 39769102 59653653 79538204 119307306 159076408 238614612 477229224 4434254873 8868509746 13302764619 17737019492 26605529238 35474038984 53211058476 106422116952