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120353423022 = 23374110772577
BaseRepresentation
bin111000000010110011…
…1110111111010101110
3102111122122012100202000
41300011213313322232
53432440434014042
6131142315313130
711460320134140
oct1600547677256
9374578170660
10120353423022
1147050408068
121b3aa14b7a6
13b47049b611
145b7a264c90
1531e601874c
hex1c059f7eae

120353423022 has 128 divisors (see below), whose sum is σ = 316045255680. Its totient is φ = 33234001920.

The previous prime is 120353423017. The next prime is 120353423039. The reversal of 120353423022 is 220324353021.

120353423022 is a `hidden beast` number, since 1 + 2 + 0 + 353 + 4 + 2 + 302 + 2 = 666.

120353423022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1203534230222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1621998 + ... + 1694574.

It is an arithmetic number, because the mean of its divisors is an integer number (2469103560).

Almost surely, 2120353423022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120353423022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158022627840).

120353423022 is an abundant number, since it is smaller than the sum of its proper divisors (195691832658).

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

120353423022 is a wasteful number, since it uses less digits than its factorization.

120353423022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72743 (or 72737 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 120353423022 its reverse (220324353021), we get a palindrome (340677776043).

The spelling of 120353423022 in words is "one hundred twenty billion, three hundred fifty-three million, four hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 107 123 126 189 214 246 287 321 369 378 574 642 738 749 861 963 1107 1498 1722 1926 2214 2247 2583 2889 4387 4494 5166 5778 6741 7749 8774 13161 13482 15498 20223 26322 30709 39483 40446 61418 72577 78966 92127 118449 145154 184254 217731 236898 276381 435462 508039 552762 653193 829143 1016078 1306386 1524117 1658286 1959579 2975657 3048234 3919158 4572351 5951314 7765739 8926971 9144702 13717053 15531478 17853942 20829599 23297217 26780913 27434106 41659198 46594434 53561826 54360173 62488797 69891651 80342739 108720346 124977594 139783302 160685478 163080519 187466391 209674953 318395299 326161038 374932782 419349906 489241557 562399173 636790598 955185897 978483114 1124798346 1467724671 1910371794 2228767093 2865557691 2935449342 4457534186 5731115382 6686301279 8596673073 13372602558 17193346146 20058903837 40117807674 60176711511 120353423022