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101330300212002 = 235732856144659
BaseRepresentation
bin10111000010100011001100…
…100011001001001100100010
3111021210002012211212020100000
4113002203030203021030202
5101240143423323241002
6555302255225040430
730225605205314301
oct2702431443111442
9437702184766300
10101330300212002
112a317a36881094
12b4465a8626116
1344705388788c4
141b045ac632438
15baac7887061c
hex5c28cc8c9322

101330300212002 has 48 divisors (see below), whose sum is σ = 230799337685280. Its totient is φ = 33314071290912.

The previous prime is 101330300211893. The next prime is 101330300212067. The reversal of 101330300212002 is 200212003033101.

101330300212002 is a `hidden beast` number, since 10 + 1 + 330 + 300 + 2 + 1 + 20 + 0 + 2 = 666.

It is a super-2 number, since 2×1013303002120022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428036852 + ... + 1428107807.

It is an arithmetic number, because the mean of its divisors is an integer number (4808319535110).

Almost surely, 2101330300212002 is an apocalyptic number.

101330300212002 is an abundant number, since it is smaller than the sum of its proper divisors (129469037473278).

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

101330300212002 is an equidigital number, since it uses as much as digits as its factorization.

101330300212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856144749 (or 2856144737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101330300212002 its reverse (200212003033101), we get a palindrome (301542303245103).

The spelling of 101330300212002 in words is "one hundred one trillion, three hundred thirty billion, three hundred million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 1314 1971 3942 5913 11826 17739 35478 2856144659 5712289318 8568433977 17136867954 25705301931 51410603862 77115905793 154231811586 208498560107 231347717379 416997120214 462695434758 625495680321 694043152137 1250991360642 1388086304274 1876487040963 3752974081926 5629461122889 11258922245778 16888383368667 33776766737334 50665150106001 101330300212002