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100100021010 = 235111717843141
BaseRepresentation
bin101110100111001101…
…1010001101100010010
3100120101010211221021120
41131032123101230102
53120001101133020
6113552454503110
710142400065643
oct1351633215422
9316333757246
10100100021010
11394a79413a0
1217497364a96
13959345c982
144bb84596ca
15290cde5740
hex174e6d1b12

100100021010 has 64 divisors (see below), whose sum is σ = 277496544384. Its totient is φ = 22839219200.

The previous prime is 100100020997. The next prime is 100100021023. The reversal of 100100021010 is 10120001001.

It is an interprime number because it is at equal distance from previous prime (100100020997) and next prime (100100021023).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100100021010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8915961 + ... + 8927180.

It is an arithmetic number, because the mean of its divisors is an integer number (4335883506).

Almost surely, 2100100021010 is an apocalyptic number.

100100021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100021010 is an abundant number, since it is smaller than the sum of its proper divisors (177396523374).

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

100100021010 is a wasteful number, since it uses less digits than its factorization.

100100021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843179.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100021010 its reverse (10120001001), we get a palindrome (110220022011).

The spelling of 100100021010 in words is "one hundred billion, one hundred million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 17843141 35686282 53529423 89215705 107058846 178431410 196274551 267647115 303333397 392549102 535294230 588823653 606666794 910000191 981372755 1177647306 1516666985 1820000382 1962745510 2944118265 3033333970 3336667367 4550000955 5888236530 6673334734 9100001910 10010002101 16683336835 20020004202 33366673670 50050010505 100100021010