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1011234411054 = 232742187721737
BaseRepresentation
bin11101011011100100100…
…01001001001000101110
310120200011122221122020100
432231302101021020232
5113032002002123204
62052315450531530
7133026221446020
oct16556221111056
93520148848210
101011234411054
1135a95350a22a
12143b98436ba6
137448893814a
1436d304d6010
151b487baaa39
hexeb7244922e

1011234411054 has 96 divisors (see below), whose sum is σ = 2512934364096. Its totient is φ = 287895928320.

The previous prime is 1011234410971. The next prime is 1011234411071. The reversal of 1011234411054 is 4501144321101.

It is a happy number.

1011234411054 is a `hidden beast` number, since 1 + 0 + 11 + 234 + 411 + 0 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46510474 + ... + 46532210.

It is an arithmetic number, because the mean of its divisors is an integer number (26176399626).

Almost surely, 21011234411054 is an apocalyptic number.

1011234411054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1011234411054 is an abundant number, since it is smaller than the sum of its proper divisors (1501699953042).

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

1011234411054 is a wasteful number, since it uses less digits than its factorization.

1011234411054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23050 (or 23047 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1011234411054 its reverse (4501144321101), we get a palindrome (5512378732155).

The spelling of 1011234411054 in words is "one trillion, eleven billion, two hundred thirty-four million, four hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 421 842 877 1263 1754 2526 2631 2947 3789 5262 5894 6139 7578 7893 8841 12278 15786 17682 18417 21737 26523 36834 43474 53046 55251 65211 110502 130422 152159 195633 304318 369217 391266 456477 738434 912954 1107651 1369431 2215302 2584519 2738862 3322953 5169038 6645906 7753557 9151277 15507114 18302554 19063349 23260671 27453831 38126698 46521342 54907662 57190047 64058939 82361493 114380094 128117878 133443443 164722986 171570141 192176817 266886886 343140282 384353634 400330329 576530451 800660658 1153060902 1200990987 2401981974 8025669929 16051339858 24077009787 48154019574 56179689503 72231029361 112359379006 144462058722 168539068509 337078137018 505617205527 1011234411054