Search a number
-
+
100012020111211 = 13192273005959341
BaseRepresentation
bin10110101111010111011100…
…111011101001011101101011
3111010010001111122021110000211
4112233113130323221131223
5101102044104122024321
6552412515431241551
730031426043330245
oct2657273473513553
9433101448243024
10100012020111211
112995995005468a
12b272bbb2192b7
1343a61294cc6a0
141a9a871387095
15b8681ebb40e1
hex5af5dcee976b

100012020111211 has 32 divisors (see below), whose sum is σ = 113879101996800. Its totient is φ = 87070254203520.

The previous prime is 100012020111181. The next prime is 100012020111229. The reversal of 100012020111211 is 112111020210001.

It is a happy number.

It is not a de Polignac number, because 100012020111211 - 29 = 100012020110699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100012020111191 and 100012020111200.

It is not an unprimeable number, because it can be changed into a prime (100012020111271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685348401 + ... + 1685407741.

It is an arithmetic number, because the mean of its divisors is an integer number (3558721937400).

Almost surely, 2100012020111211 is an apocalyptic number.

100012020111211 is a deficient number, since it is larger than the sum of its proper divisors (13867081885589).

100012020111211 is a wasteful number, since it uses less digits than its factorization.

100012020111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89659.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100012020111211 its reverse (112111020210001), we get a palindrome (212123040321212).

The spelling of 100012020111211 in words is "one hundred trillion, twelve billion, twenty million, one hundred eleven thousand, two hundred eleven".

Divisors: 1 13 19 227 247 2951 4313 30059 56069 59341 390767 571121 771433 1127479 6823393 7424573 13470407 14657227 88704109 129644467 175115291 255937733 1685378071 1783731119 3327190529 23188504547 33890891261 404906964013 440581586393 5263790532169 7693232316247 100012020111211