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10112000211000 = 2332533730679901
BaseRepresentation
bin1001001100100110001000…
…1011100011100000111000
31022210200211200101110212100
42103021202023203200320
52311133334023223000
633301215550143400
72062365535415562
oct223114213434070
938720750343770
1010112000211000
113249525555276
1211739344b1b60
13584732b7481c
1426d5cdc24332
15128082940a00
hex932622e3838

10112000211000 has 384 divisors, whose sum is σ = 35117297242560. Its totient is φ = 2622533760000.

The previous prime is 10112000210981. The next prime is 10112000211007. The reversal of 10112000211000 is 11200021101.

It is a happy number.

It is a super-3 number, since 3×101120002110003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112000211007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021306050 + ... + 1021315950.

Almost surely, 210112000211000 is an apocalyptic number.

10112000211000 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 10112000211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558648621280).

10112000211000 is an abundant number, since it is smaller than the sum of its proper divisors (25005297031560).

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

10112000211000 is a wasteful number, since it uses less digits than its factorization.

10112000211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13015 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112000211000 its reverse (11200021101), we get a palindrome (10123200232101).

The spelling of 10112000211000 in words is "ten trillion, one hundred twelve billion, two hundred eleven thousand".