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100012120001211 = 3112378191909091
BaseRepresentation
bin10110101111010111100010…
…111000101100101010111011
3111010010001202121020101100110
4112233113202320230222323
5101102044310210014321
6552412533400235403
730031431365353605
oct2657274270545273
9433101677211313
10100012120001211
11299599a1480500
12b27302876bb63
1343a61441050b2
141a9a88074a175
15b86828846176
hex5af5e2e2cabb

100012120001211 has 48 divisors (see below), whose sum is σ = 150554246119424. Its totient is φ = 58967941032000.

The previous prime is 100012120001201. The next prime is 100012120001237. The reversal of 100012120001211 is 112100021210001.

It is not a de Polignac number, because 100012120001211 - 27 = 100012120001083 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012120001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109558776 + ... + 110467866.

Almost surely, 2100012120001211 is an apocalyptic number.

100012120001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012120001211 is a deficient number, since it is larger than the sum of its proper divisors (50542126118213).

100012120001211 is a wasteful number, since it uses less digits than its factorization.

100012120001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917344 (or 917333 counting only the distinct ones).

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

Adding to 100012120001211 its reverse (112100021210001), we get a palindrome (212112141211212).

The spelling of 100012120001211 in words is "one hundred trillion, twelve billion, one hundred twenty million, one thousand, two hundred eleven".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 8191 13431 24573 90101 270303 303067 909091 909201 991111 2727273 2973333 3333737 10000001 10001211 30000003 33636367 36671107 100909101 110000011 110013321 330000033 370000037 1110000111 4070000407 7446364381 12210001221 22339093143 81910008191 245730024573 275515482097 826546446291 901010090101 2703030270303 3030670303067 9092010909201 33337373333737 100012120001211