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2013311021202 = 23213192141211507
BaseRepresentation
bin11101010011000010101…
…100000011000010010010
321010110201002212210022100
4131103002230003002102
5230441230110134302
64140522522221230
7265312503214035
oct35230254030222
97113632783270
102013311021202
11706927648058
12286239954816
13117b151c2490
146d63265b01c
15375868b8d1c
hex1d4c2b03092

2013311021202 has 96 divisors (see below), whose sum is σ = 4947307485120. Its totient is φ = 586599200640.

The previous prime is 2013311021119. The next prime is 2013311021233. The reversal of 2013311021202 is 2021201133102.

2013311021202 is a `hidden beast` number, since 201 + 331 + 10 + 2 + 120 + 2 = 666.

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

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, 9413133 + ... + 9624639.

It is an arithmetic number, because the mean of its divisors is an integer number (51534452970).

Almost surely, 22013311021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013311021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473653742560).

2013311021202 is an abundant number, since it is smaller than the sum of its proper divisors (2933996463918).

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

2013311021202 is a wasteful number, since it uses less digits than its factorization.

2013311021202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213688 (or 213685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2013311021202 its reverse (2021201133102), we get a palindrome (4034512154304).

The spelling of 2013311021202 in words is "two trillion, thirteen billion, three hundred eleven million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2141 2223 4282 4446 6423 12846 19269 27833 38538 40679 55666 81358 83499 122037 166998 211507 244074 250497 366111 423014 500994 528827 634521 732222 1057654 1269042 1586481 1903563 2749591 3172962 3807126 4018633 4759443 5499182 8037266 8248773 9518886 12055899 16497546 24111798 24746319 36167697 49492638 52242229 72335394 104484458 156726687 313453374 452836487 470180061 905672974 940360122 1358509461 2717018922 4075528383 5886874331 8151056766 8603893253 11773748662 17207786506 17660622993 25811679759 35321245986 51623359518 52981868979 77435039277 105963737958 111850612289 154870078554 223701224578 335551836867 671103673734 1006655510601 2013311021202