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103023013434440 = 23511556734205687
BaseRepresentation
bin10111011011001011101010…
…000111101001010001001000
3111111202220101221102101220112
4113123023222013221101020
5102000412112414400230
61003040041412013452
730462111212311361
oct2733135207512110
9444686357371815
10103023013434440
112a90a8a6308860
12b67a672901288
13456404a759b78
141b624aa2d2b68
15bd9ce95c8d95
hex5db2ea1e9448

103023013434440 has 64 divisors (see below), whose sum is σ = 252879271608960. Its totient is φ = 37462232158720.

The previous prime is 103023013434431. The next prime is 103023013434541. The reversal of 103023013434440 is 44434310320301.

It is a super-2 number, since 2×1030230134344402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103023013434397 and 103023013434406.

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 15 ways as a sum of consecutive naturals, for example, 22393277 + ... + 26598963.

It is an arithmetic number, because the mean of its divisors is an integer number (3951238618890).

Almost surely, 2103023013434440 is an apocalyptic number.

103023013434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103023013434440 is an abundant number, since it is smaller than the sum of its proper divisors (149856258174520).

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

103023013434440 is a wasteful number, since it uses less digits than its factorization.

103023013434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261382 (or 4261378 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 103023013434440 its reverse (44434310320301), we get a palindrome (147457323754741).

The spelling of 103023013434440 in words is "one hundred three trillion, twenty-three billion, thirteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 55673 111346 222692 278365 445384 556730 612403 1113460 1224806 2226920 2449612 3062015 4205687 4899224 6124030 8411374 12248060 16822748 21028435 24496120 33645496 42056870 46262557 84113740 92525114 168227480 185050228 231312785 370100456 462625570 925251140 1850502280 234143212351 468286424702 936572849404 1170716061755 1873145698808 2341432123510 2575575335861 4682864247020 5151150671722 9365728494040 10302301343444 12877876679305 20604602686888 25755753358610 51511506717220 103023013434440