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1054405102230 = 232573390741077
BaseRepresentation
bin11110101011111110111…
…00010000101010010110
310201210121022012222100100
433111333130100222112
5114233410201232410
62124215332354530
7136115066330304
oct17257734205226
93653538188310
101054405102230
113771972124a7
12150426175a46
1378578866a1c
1439067c1d274
151c662c018c0
hexf57f710a96

1054405102230 has 96 divisors (see below), whose sum is σ = 2779786380384. Its totient is φ = 277245255168.

The previous prime is 1054405102229. The next prime is 1054405102243. The reversal of 1054405102230 is 322015044501.

1054405102230 is a `hidden beast` number, since 10 + 5 + 4 + 405 + 10 + 2 + 230 = 666.

It is a super-2 number, since 2×10544051022302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054405102194 and 1054405102203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25648452 + ... + 25689528.

It is an arithmetic number, because the mean of its divisors is an integer number (28956108129).

Almost surely, 21054405102230 is an apocalyptic number.

1054405102230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054405102230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389893190192).

1054405102230 is an abundant number, since it is smaller than the sum of its proper divisors (1725381278154).

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

1054405102230 is a wasteful number, since it uses less digits than its factorization.

1054405102230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45070 (or 45067 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1054405102230 in words is "one trillion, fifty-four billion, four hundred five million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 3907 6570 7814 11721 19535 23442 35163 39070 41077 58605 70326 82154 117210 123231 175815 205385 246462 285211 351630 369693 410770 570422 616155 739386 855633 1232310 1426055 1711266 1848465 2566899 2852110 2998621 3696930 4278165 5133798 5997242 8556330 8995863 12834495 14993105 17991726 25668990 26987589 29986210 44979315 53975178 89958630 134937945 160487839 269875890 320975678 481463517 802439195 962927034 1444390551 1604878390 2407317585 2888781102 4814635170 7221952755 11715612247 14443905510 23431224494 35146836741 58578061235 70293673482 105440510223 117156122470 175734183705 210881020446 351468367410 527202551115 1054405102230