Search a number
-
+
101313230022 = 232173761714503
BaseRepresentation
bin101111001011010111…
…1010011010011000110
3100200111200201100011200
41132112233103103012
53124442141330042
6114313114043330
710214431150314
oct1362657232306
9320450640150
10101313230022
1139a6a74a274
1217775719546
1397278ca524
144c916270b4
15297e68ec4c
hex1796bd34c6

101313230022 has 96 divisors (see below), whose sum is σ = 239109579072. Its totient is φ = 30873249792.

The previous prime is 101313230021. The next prime is 101313230023. The reversal of 101313230022 is 220032313101.

101313230022 is a `hidden beast` number, since 101 + 313 + 230 + 0 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (101313230021) and next prime (101313230023).

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 = 101313229977 and 101313230004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313230021) 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, 6978423 + ... + 6992925.

It is an arithmetic number, because the mean of its divisors is an integer number (2490724782).

Almost surely, 2101313230022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119554789536).

101313230022 is an abundant number, since it is smaller than the sum of its proper divisors (137796349050).

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

101313230022 is a wasteful number, since it uses less digits than its factorization.

101313230022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101313230022 its reverse (220032313101), we get a palindrome (321345543123).

The spelling of 101313230022 in words is "one hundred one billion, three hundred thirteen million, two hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 617 629 666 1234 1258 1851 1887 3702 3774 5553 5661 10489 11106 11322 14503 20978 22829 29006 31467 43509 45658 62934 68487 87018 94401 130527 136974 188802 205461 246551 261054 388093 410922 493102 536611 739653 776186 1073222 1164279 1479306 1609833 2218959 2328558 3219666 3492837 4437918 4829499 6985674 8948351 9122387 9658998 17896702 18244774 26845053 27367161 53690106 54734322 80535159 82101483 152121967 161070318 164202966 304243934 331088987 456365901 662177974 912731802 993266961 1369097703 1986533922 2738195406 2979800883 5628512779 5959601766 11257025558 16885538337 33771076674 50656615011 101313230022