Search a number
-
+
33010031111022 = 23272717193134399
BaseRepresentation
bin1111000000101101111110…
…01011011010101101101110
311022212201122211021021100200
413200112333023122231232
513311314020431023042
6154112333212134330
76644616225602040
oct740267713325556
9138781584237320
1033010031111022
11a577525aa0a29
1238516947673a6
131555aa92301b4
148219a05c3a90
153c39eeec3c4c
hex1e05bf2dab6e

33010031111022 has 96 divisors (see below), whose sum is σ = 82052761190400. Its totient is φ = 9395258843520.

The previous prime is 33010031111021. The next prime is 33010031111039. The reversal of 33010031111022 is 22011113001033.

33010031111022 is a `hidden beast` number, since 330 + 1 + 0 + 0 + 311 + 1 + 1 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 33010031110986 and 33010031111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33010031111021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245544979 + ... + 245679377.

It is an arithmetic number, because the mean of its divisors is an integer number (854716262400).

Almost surely, 233010031111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33010031111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41026380595200).

33010031111022 is an abundant number, since it is smaller than the sum of its proper divisors (49042730079378).

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

33010031111022 is a wasteful number, since it uses less digits than its factorization.

33010031111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141878 (or 141875 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 33010031111022 its reverse (22011113001033), we get a palindrome (55021144112055).

The spelling of 33010031111022 in words is "thirty-three trillion, ten billion, thirty-one million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2439 3794 4878 5691 7193 11382 14386 17073 21579 34146 43158 50351 64737 100702 129474 134399 151053 268798 302106 403197 453159 806394 906318 940793 1209591 1881586 1949303 2419182 2822379 3898606 5644758 5847909 8467137 11695818 13645121 16934274 17543727 27290242 35087454 36422129 40935363 72844258 81870726 109266387 122806089 218532774 245612178 254954903 327799161 509909806 655598322 764864709 966732007 1529729418 1933464014 2294594127 2900196021 4589188254 5800392042 6767124049 8700588063 13534248098 17401176126 20301372147 40602744294 60904116441 121808232882 261984373897 523968747794 785953121691 1571906243382 1833890617279 2357859365073 3667781234558 4715718730146 5501671851837 11003343703674 16505015555511 33010031111022