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100340000211 = 3114370711769
BaseRepresentation
bin101110101110010111…
…0101110010111010011
3100120222212102010212010
41131130232232113103
53120444020001321
6114032350234003
710151342633523
oct1353456562723
9316885363763
10100340000211
1139610350310
12175437b5903
1396010a41b9
144bdc287683
152923eea676
hex175cbae5d3

100340000211 has 16 divisors (see below), whose sum is σ = 149343258240. Its totient is φ = 59397885120.

The previous prime is 100340000209. The next prime is 100340000213. The reversal of 100340000211 is 112000043001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100340000209) and next prime (100340000213).

It is not a de Polignac number, because 100340000211 - 21 = 100340000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100340000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35354466 + ... + 35357303.

It is an arithmetic number, because the mean of its divisors is an integer number (9333953640).

Almost surely, 2100340000211 is an apocalyptic number.

100340000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100340000211 is a deficient number, since it is larger than the sum of its proper divisors (49003258029).

100340000211 is a wasteful number, since it uses less digits than its factorization.

100340000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70711826.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100340000211 its reverse (112000043001), we get a palindrome (212340043212).

The spelling of 100340000211 in words is "one hundred billion, three hundred forty million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 11 33 43 129 473 1419 70711769 212135307 777829459 2333488377 3040606067 9121818201 33446666737 100340000211