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11203012000 = 255314918797
BaseRepresentation
bin10100110111100000…
…00110010110100000
31001220202102222100101
422123300012112200
5140420432341000
65051355232144
7544423013365
oct123360062640
931822388311
1011203012000
114829898804
122207a48654
131096cc78ab
14783c3846c
154587e0e6a
hex29bc065a0

11203012000 has 96 divisors (see below), whose sum is σ = 27712011600. Its totient is φ = 4450892800.

The previous prime is 11203011949. The next prime is 11203012001. The reversal of 11203012000 is 21030211.

It can be written as a sum of positive squares in 8 ways, for example, as 222487056 + 10980524944 = 14916^2 + 104788^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11203012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586602 + ... + 605398.

Almost surely, 211203012000 is an apocalyptic number.

11203012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11203012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856005800).

11203012000 is an abundant number, since it is smaller than the sum of its proper divisors (16508999600).

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

11203012000 is a wasteful number, since it uses less digits than its factorization.

11203012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18971 (or 18953 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11203012000 its reverse (21030211), we get a palindrome (11224042211).

The spelling of 11203012000 in words is "eleven billion, two hundred three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 745 800 1000 1192 1490 2000 2384 2980 3725 4000 4768 5960 7450 11920 14900 18625 18797 23840 29800 37250 37594 59600 74500 75188 93985 119200 149000 150376 187970 298000 300752 375940 469925 596000 601504 751880 939850 1503760 1879700 2349625 2800753 3007520 3759400 4699250 5601506 7518800 9398500 11203012 14003765 15037600 18797000 22406024 28007530 37594000 44812048 56015060 70018825 75188000 89624096 112030120 140037650 224060240 280075300 350094125 448120480 560150600 700188250 1120301200 1400376500 2240602400 2800753000 5601506000 11203012000