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100100012000211 = 3220698521630871
BaseRepresentation
bin10110110000101001011001…
…101010000100001111010011
3111010102110121221112112201200
4112300221121222010033103
5101110014311033001321
6552521151035002243
730040662420130626
oct2660513152041723
9433373557475650
10100100012000211
11299931a4199203
12b288077599383
1343b15102977b2
141aa0c1b6b7dbd
15b88c6eac9d26
hex5b0a59a843d3

100100012000211 has 24 divisors (see below), whose sum is σ = 144675995761440. Its totient is φ = 66693153859200.

The previous prime is 100100012000113. The next prime is 100100012000213. The reversal of 100100012000211 is 112000210001001.

It is a happy number.

It is not a de Polignac number, because 100100012000211 - 219 = 100100011475923 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100012000193 and 100100012000202.

It is not an unprimeable number, because it can be changed into a prime (100100012000213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158354106 + ... + 158984976.

It is an arithmetic number, because the mean of its divisors is an integer number (6028166490060).

Almost surely, 2100100012000211 is an apocalyptic number.

100100012000211 is a deficient number, since it is larger than the sum of its proper divisors (44575983761229).

100100012000211 is a wasteful number, since it uses less digits than its factorization.

100100012000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641467 (or 641464 counting only the distinct ones).

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

Adding to 100100012000211 its reverse (112000210001001), we get a palindrome (212100222001212).

The spelling of 100100012000211 in words is "one hundred trillion, one hundred billion, twelve million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 2069 6207 8521 18621 25563 76689 630871 1892613 5677839 17629949 52889847 158669541 1305272099 3915816297 5375651791 11747448891 16126955373 48380866119 11122223555579 33366670666737 100100012000211