Search a number
-
+
112132220310 = 232511532137073
BaseRepresentation
bin110100001101110011…
…0011110010110010110
3101201102200112222202200
41220123212132112112
53314121322022220
6123302434345330
711046512101125
oct1503346362626
9351380488680
10112132220310
1143611795860
1219894a2b246
13a760189526
1455da459abc
152db43c6890
hex1a1b99e596

112132220310 has 96 divisors (see below), whose sum is σ = 324048804768. Its totient is φ = 26670658560.

The previous prime is 112132220309. The next prime is 112132220327. The reversal of 112132220310 is 13022231211.

112132220310 is a `hidden beast` number, since 1 + 1 + 2 + 132 + 220 + 310 = 666.

It is a super-2 number, since 2×1121322203102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1016067 + ... + 1121006.

It is an arithmetic number, because the mean of its divisors is an integer number (3375508383).

Almost surely, 2112132220310 is an apocalyptic number.

112132220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112132220310 is an abundant number, since it is smaller than the sum of its proper divisors (211916584458).

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

112132220310 is a wasteful number, since it uses less digits than its factorization.

112132220310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137150 (or 2137147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112132220310 its reverse (13022231211), we get a palindrome (125154451521).

The spelling of 112132220310 in words is "one hundred twelve billion, one hundred thirty-two million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2915 3498 4770 5247 5830 8745 10494 17490 26235 52470 2137073 4274146 6411219 10685365 12822438 19233657 21370730 23507803 32056095 38467314 47015606 64112190 70523409 96168285 113264869 117539015 141046818 192336570 211570227 226529738 235078030 339794607 352617045 423140454 566324345 679589214 705234090 1019383821 1057851135 1132648690 1245913559 1698973035 2038767642 2115702270 2491827118 3397946070 3737740677 5096919105 6229567795 7475481354 10193838210 11213222031 12459135590 18688703385 22426444062 37377406770 56066110155 112132220310