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103011033332000 = 2553193133433981
BaseRepresentation
bin10111011011000000100000…
…000011001011100100100000
3111111201202111000202010212202
4113123000200003023210200
5102000213044013111000
61003030340532512332
730461205302156123
oct2733004003134440
9444652430663782
10103011033332000
112a905808907552
12b67828a77b6a8
134562b8b770c61
141b61a911b43ba
15bd9847988dd5
hex5db0200cb920

103011033332000 has 96 divisors (see below), whose sum is σ = 254409499968624. Its totient is φ = 40990918656000.

The previous prime is 103011033331967. The next prime is 103011033332027. The reversal of 103011033332000 is 233330110301.

It can be written as a sum of positive squares in 8 ways, for example, as 2545773420304 + 100465259911696 = 1595548^2 + 10023236^2 .

It is a super-2 number, since 2×1030110333320002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65944991 + ... + 67488990.

Almost surely, 2103011033332000 is an apocalyptic number.

103011033332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011033332000 is an abundant number, since it is smaller than the sum of its proper divisors (151398466636624).

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

103011033332000 is a wasteful number, since it uses less digits than its factorization.

103011033332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133434199 (or 133434181 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103011033332000 its reverse (233330110301), we get a palindrome (103244363442301).

The spelling of 103011033332000 in words is "one hundred three trillion, eleven billion, thirty-three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 772 800 965 1000 1544 1930 2000 3088 3860 4000 4825 6176 7720 9650 15440 19300 24125 30880 38600 48250 77200 96500 154400 193000 386000 772000 133433981 266867962 533735924 667169905 1067471848 1334339810 2134943696 2668679620 3335849525 4269887392 5337359240 6671699050 10674718480 13343398100 16679247625 21349436960 25752758333 26686796200 33358495250 51505516666 53373592400 66716990500 103011033332 106747184800 128763791665 133433981000 206022066664 257527583330 266867962000 412044133328 515055166660 533735924000 643818958325 824088266656 1030110333320 1287637916650 2060220666640 2575275833300 3219094791625 4120441333280 5150551666600 6438189583250 10301103333200 12876379166500 20602206666400 25752758333000 51505516666000 103011033332000