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100034022 = 23116124847
BaseRepresentation
bin1011111011001…
…10010111100110
320222020020212210
411331212113212
5201102042042
613532024250
72323163244
oct575462746
9228206783
10100034022
1151515050
1229602086
131795613a
14d3dd794
158baea9c
hex5f665e6

100034022 has 32 divisors (see below), whose sum is σ = 221842944. Its totient is φ = 29815200.

The previous prime is 100034003. The next prime is 100034029. The reversal of 100034022 is 220430001.

100034022 = T308 + T309 + ... + T856.

It is a junction number, because it is equal to n+sod(n) for n = 100033989 and 100034007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8398 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (6932592).

Almost surely, 2100034022 is an apocalyptic number.

100034022 is an abundant number, since it is smaller than the sum of its proper divisors (121808922).

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

100034022 is a wasteful number, since it uses less digits than its factorization.

100034022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24924.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100034022 is about 10001.7009553375. The cubic root of 100034022 is about 464.2115161046.

Adding to 100034022 its reverse (220430001), we get a palindrome (320464023).

The spelling of 100034022 in words is "one hundred million, thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 2013 4026 24847 49694 74541 149082 273317 546634 819951 1515667 1639902 3031334 4547001 9094002 16672337 33344674 50017011 100034022