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1311000220002 = 2311229411518743
BaseRepresentation
bin10011000100111101101…
…100111101000101100010
311122022220212012112020210
4103010331230331011202
5132434412024020002
62442133140314550
7163500544001544
oct23047554750542
94568825175223
101311000220002
11465aa04a0300
121920b73a2a56
139681c09ac65
144764a4b5694
152417ea0996c
hex1313db3d162

1311000220002 has 96 divisors (see below), whose sum is σ = 3054133434240. Its totient is φ = 374218028800.

The previous prime is 1311000219953. The next prime is 1311000220069. The reversal of 1311000220002 is 2000220001131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311000220002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103843 + ... + 1622585.

It is an arithmetic number, because the mean of its divisors is an integer number (31813889940).

Almost surely, 21311000220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311000220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527066717120).

1311000220002 is an abundant number, since it is smaller than the sum of its proper divisors (1743133214238).

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

1311000220002 is a wasteful number, since it uses less digits than its factorization.

1311000220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518840 (or 1518829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1311000220002 its reverse (2000220001131), we get a palindrome (3311220221133).

The spelling of 1311000220002 in words is "one trillion, three hundred eleven billion, two hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 121 123 174 242 246 319 363 451 638 726 902 957 1189 1353 1914 2378 2706 3509 3567 4961 7018 7134 9922 10527 13079 14883 21054 26158 29766 39237 78474 143869 287738 431607 863214 1518743 3037486 4556229 9112458 16706173 33412346 44043547 50118519 62268463 88087094 100237038 124536926 132130641 183767903 186805389 264261282 367535806 373610778 484479017 551303709 684953093 968958034 1102607418 1369906186 1453437051 1805785427 2054859279 2906874102 3611570854 4109718558 5329269187 5417356281 7534484023 10658538374 10834712562 15068968046 15987807561 19863639697 22603452069 31975615122 39727279394 45206904138 59590919091 119181838182 218500036667 437000073334 655500110001 1311000220002