Search a number
-
+
122002111110 = 235112138124337
BaseRepresentation
bin111000110011111100…
…1000111101010000110
3102122220112111101121210
41301213321013222012
53444330020023420
6132014052352250
711546216556015
oct1614771075206
9378815441553
10122002111110
1147817013900
121b78a315686
13b673c205b9
145c951d0a7c
153290b339e0
hex1c67e47a86

122002111110 has 96 divisors (see below), whose sum is σ = 322089870816. Its totient is φ = 29553638400.

The previous prime is 122002111109. The next prime is 122002111129. The reversal of 122002111110 is 11111200221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5000862 + ... + 5025198.

It is an arithmetic number, because the mean of its divisors is an integer number (3355102821).

Almost surely, 2122002111110 is an apocalyptic number.

122002111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161044935408).

122002111110 is an abundant number, since it is smaller than the sum of its proper divisors (200087759706).

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

122002111110 is a wasteful number, since it uses less digits than its factorization.

122002111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25750 (or 25739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122002111110 its reverse (11111200221), we get a palindrome (133113311331).

The spelling of 122002111110 in words is "one hundred twenty-two billion, two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1381 1815 2762 3630 4143 6905 8286 13810 15191 20715 24337 30382 41430 45573 48674 73011 75955 91146 121685 146022 151910 167101 227865 243370 267707 334202 365055 455730 501303 535414 730110 803121 835505 1002606 1338535 1606242 1671010 2506515 2677070 2944777 4015605 5013030 5889554 8031210 8834331 14723885 17668662 29447770 33609397 44171655 67218794 88343310 100828191 168046985 201656382 336093970 369703367 504140955 739406734 1008281910 1109110101 1848516835 2218220202 3697033670 4066737037 5545550505 8133474074 11091101010 12200211111 20333685185 24400422222 40667370370 61001055555 122002111110