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101543354900442 = 23271361992280159
BaseRepresentation
bin10111000101101001100111…
…100110010001111111011010
3111022112110010222211210201200
4113011221213212101333122
5101302141242323303232
6555544212342255030
730250156665301410
oct2705514746217732
9438473128753650
10101543354900442
112a39a32767a9a4
12b47b948127476
1344876606a6ba0
141b10a204372b0
15bb1597e4a77c
hex5c5a67991fda

101543354900442 has 48 divisors (see below), whose sum is σ = 270782279738880. Its totient is φ = 26780665028256.

The previous prime is 101543354900441. The next prime is 101543354900527. The reversal of 101543354900442 is 244009453345101.

It is a happy number.

101543354900442 is a `hidden beast` number, since 1 + 0 + 154 + 3 + 3 + 5 + 490 + 0 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×1015433549004423 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101543354900441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30996138442 + ... + 30996141717.

It is an arithmetic number, because the mean of its divisors is an integer number (5641297494560).

Almost surely, 2101543354900442 is an apocalyptic number.

101543354900442 is an abundant number, since it is smaller than the sum of its proper divisors (169238924838438).

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

101543354900442 is a wasteful number, since it uses less digits than its factorization.

101543354900442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61992280187 (or 61992280184 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 101543354900442 in words is "one hundred one trillion, five hundred forty-three billion, three hundred fifty-four million, nine hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 61992280159 123984560318 185976840477 371953680954 433945961113 557930521431 805899642067 867891922226 1115861042862 1301837883339 1611799284134 2417698926201 2603675766678 3905513650017 4835397852402 5641297494469 7253096778603 7811027300034 11282594988938 14506193557206 16923892483407 33847784966814 50771677450221 101543354900442