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100210111212000 = 2535343731909637
BaseRepresentation
bin10110110010001111111100…
…000101001110100111100000
3111010210222210221122000002110
4112302033330011032213200
5101113320301432241000
6553043520051115320
730051640655031366
oct2662177405164740
9433728727560073
10100210111212000
1129a25962341629
12b2a54835a2b40
1343bba081c04aa
141aa62a3b25636
15b8ba6576d850
hex5b23fc14e9e0

100210111212000 has 192 divisors, whose sum is σ = 328363567930944. Its totient is φ = 26716571494400.

The previous prime is 100210111211983. The next prime is 100210111212019. The reversal of 100210111212000 is 212111012001.

100210111212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51521182 + ... + 53430818.

It is an arithmetic number, because the mean of its divisors is an integer number (1710226916307).

Almost surely, 2100210111212000 is an apocalyptic number.

100210111212000 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 100210111212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164181783965472).

100210111212000 is an abundant number, since it is smaller than the sum of its proper divisors (228153456718944).

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

100210111212000 is a wasteful number, since it uses less digits than its factorization.

100210111212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914038 (or 1914020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210111212000 its reverse (212111012001), we get a palindrome (100422222224001).

The spelling of 100210111212000 in words is "one hundred trillion, two hundred ten billion, one hundred eleven million, two hundred twelve thousand".