Search a number
-
+
1101040002054 = 2321812514393067
BaseRepresentation
bin10000000001011011000…
…110010010010000000110
310220020222101000100100100
4100001123012102100012
5121014412220031204
62201451044224530
7142355540412336
oct20013306222006
93806871010310
101101040002054
11394a48416a23
1215948009b146
137ca9b3acbc5
143b40d6690c6
151d991e34a39
hex1005b192406

1101040002054 has 96 divisors (see below), whose sum is σ = 2414596504320. Its totient is φ = 362585160000.

The previous prime is 1101040002053. The next prime is 1101040002071. The reversal of 1101040002054 is 4502000401011.

It is a super-3 number, since 3×11010400020543 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101040002053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358994229 + ... + 358997295.

It is an arithmetic number, because the mean of its divisors is an integer number (25152046920).

Almost surely, 21101040002054 is an apocalyptic number.

1101040002054 is an abundant number, since it is smaller than the sum of its proper divisors (1313556502266).

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

1101040002054 is a wasteful number, since it uses less digits than its factorization.

1101040002054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1101040002054 its reverse (4502000401011), we get a palindrome (5603040403065).

The spelling of 1101040002054 in words is "one trillion, one hundred one billion, forty million, two thousand, fifty-four".

Divisors: 1 2 3 6 9 18 181 251 362 439 502 543 753 878 1086 1317 1506 1629 2259 2634 3067 3258 3951 4518 6134 7902 9201 18402 27603 45431 55206 79459 90862 110189 136293 158918 220378 238377 272586 330567 408879 476754 555127 661134 715131 769817 817758 991701 1110254 1346413 1430262 1539634 1665381 1983402 2309451 2692826 3330762 4039239 4618902 4996143 6928353 8078478 9992286 12117717 13856706 19944209 24235434 39888418 59832627 119665254 139336877 179497881 243700753 278673754 337949663 358995762 418010631 487401506 675899326 731102259 836021262 1013848989 1254031893 1462204518 2027697978 2193306777 2508063786 3041546967 4386613554 6083093934 61168889003 122337778006 183506667009 367013334018 550520001027 1101040002054