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100021211010 = 23257158763827
BaseRepresentation
bin101110100100110111…
…0101000111110000010
3100120011122112222021200
41131021232220332002
53114320412223020
6113541001402030
710140422160120
oct1351156507602
9316148488250
10100021211010
1139467403266
1217474a99316
139580028136
144babbc2910
152906029590
hex1749ba8f82

100021211010 has 48 divisors (see below), whose sum is σ = 297205886016. Its totient is φ = 22861990944.

The previous prime is 100021210979. The next prime is 100021211023. The reversal of 100021211010 is 10112120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100021210983 and 100021211001.

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 23 ways as a sum of consecutive naturals, for example, 79381284 + ... + 79382543.

It is an arithmetic number, because the mean of its divisors is an integer number (6191789292).

Almost surely, 2100021211010 is an apocalyptic number.

100021211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021211010 is an abundant number, since it is smaller than the sum of its proper divisors (197184675006).

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

100021211010 is a wasteful number, since it uses less digits than its factorization.

100021211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158763847 (or 158763844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021211010 its reverse (10112120001), we get a palindrome (110133331011).

The spelling of 100021211010 in words is "one hundred billion, twenty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 158763827 317527654 476291481 793819135 952582962 1111346789 1428874443 1587638270 2222693578 2381457405 2857748886 3334040367 4762914810 5556733945 6668080734 7144372215 10002121101 11113467890 14288744430 16670201835 20004242202 33340403670 50010605505 100021211010