Search a number
-
+
101021202211110 = 2355976801743143
BaseRepresentation
bin10110111110000011010100…
…110111110110000100100110
3111020200112101021102212121220
4112332003110313312010212
5101220112410231223420
6554504255530121210
730164353364542656
oct2676032467660446
9436615337385556
10101021202211110
112a208940038095
12b3b6704280206
13444a348ba611c
141ad3649088366
15ba2bd75c7840
hex5be0d4df6126

101021202211110 has 64 divisors (see below), whose sum is σ = 246563764508160. Its totient is φ = 26482013798400.

The previous prime is 101021202211063. The next prime is 101021202211121. The reversal of 101021202211110 is 11112202120101.

It is a happy number.

It is a super-4 number, since 4×1010212022111104 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101021202211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135566199 + ... + 136309341.

It is an arithmetic number, because the mean of its divisors is an integer number (3852558820440).

Almost surely, 2101021202211110 is an apocalyptic number.

101021202211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021202211110 is an abundant number, since it is smaller than the sum of its proper divisors (145542562297050).

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

101021202211110 is a wasteful number, since it uses less digits than its factorization.

101021202211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820013.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101021202211110 its reverse (11112202120101), we get a palindrome (112133404331211).

The spelling of 101021202211110 in words is "one hundred one trillion, twenty-one billion, two hundred two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 76801 153602 230403 384005 460806 743143 768010 1152015 1486286 2229429 2304030 3715715 4458858 4531259 7431430 9062518 11147145 13593777 22294290 22656295 27187554 43845437 45312590 67968885 87690874 131536311 135937770 219227185 263072622 438454370 657681555 1315363110 57074125543 114148251086 171222376629 285370627715 342444753258 570741255430 856111883145 1712223766290 3367373407037 6734746814074 10102120221111 16836867035185 20204240442222 33673734070370 50510601105555 101021202211110