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212011963310004 = 223111317101227316991
BaseRepresentation
bin110000001101001011100001…
…110000101101111110110100
31000210200010221020210021111120
4300031023201300231332310
5210242101000101410004
62030524541254503540
762441234043643044
oct6015134160557664
91023603836707446
10212011963310004
116160a85016a010
121b941409664bb0
13913b847338210
143a4d6103cd724
151979db73d43d9
hexc0d2e1c2dfb4

212011963310004 has 384 divisors, whose sum is σ = 624199101087744. Its totient is φ = 55019320320000.

The previous prime is 212011963309999. The next prime is 212011963310009. The reversal of 212011963310004 is 400013369110212.

212011963310004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212011963309999) and next prime (212011963310009).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011963310009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 668667949 + ... + 668984939.

It is an arithmetic number, because the mean of its divisors is an integer number (1625518492416).

Almost surely, 2212011963310004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011963310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312099550543872).

212011963310004 is an abundant number, since it is smaller than the sum of its proper divisors (412187137777740).

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

212011963310004 is a wasteful number, since it uses less digits than its factorization.

212011963310004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317367 (or 317365 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 212011963310004 in words is "two hundred twelve trillion, eleven billion, nine hundred sixty-three million, three hundred ten thousand, four".