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3013102013202 = 2323783379143821
BaseRepresentation
bin101011110110001010111…
…000000000101100010010
3101200001100021000111201100
4223312022320000230102
5343331313103410302
610224111105045230
7430455322350231
oct53661270005422
911601307014640
103013102013202
11a61938598166
12407b61926816
1318b19909b838
14a5b99018b18
155359eae6d1c
hex2bd8ae00b12

3013102013202 has 96 divisors (see below), whose sum is σ = 6803562991680. Its totient is φ = 962894459520.

The previous prime is 3013102013197. The next prime is 3013102013203. The reversal of 3013102013202 is 2023102013103.

3013102013202 is a `hidden beast` number, since 30 + 1 + 310 + 2 + 0 + 1 + 320 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3013102013203) 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, 20878452 + ... + 21022272.

It is an arithmetic number, because the mean of its divisors is an integer number (70870447830).

Almost surely, 23013102013202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013102013202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401781495840).

3013102013202 is an abundant number, since it is smaller than the sum of its proper divisors (3790460978478).

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

3013102013202 is a wasteful number, since it uses less digits than its factorization.

3013102013202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144328 (or 144325 counting only the distinct ones).

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

Adding to 3013102013202 its reverse (2023102013103), we get a palindrome (5036204026305).

Subtracting from 3013102013202 its reverse (2023102013103), we obtain a palindrome (990000000099).

The spelling of 3013102013202 in words is "three trillion, thirteen billion, one hundred two million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 333 379 498 666 747 758 1137 1494 2274 3071 3411 6142 6822 9213 14023 18426 27639 28046 31457 42069 55278 62914 84138 94371 126207 143821 188742 252414 283113 287642 431463 566226 862926 1163909 1294389 2327818 2588778 3491727 5321377 6983454 10475181 10642754 11937143 15964131 20950362 23874286 31928262 35811429 47892393 54508159 71622858 95784786 107434287 109016318 163524477 214868574 327048954 441674291 490573431 883348582 981146862 1325022873 2016801883 2650045746 3975068619 4033603766 4524177197 6050405649 7950137238 9048354394 12100811298 13572531591 18151216947 27145063182 36302433894 40717594773 81435189546 167394556289 334789112578 502183668867 1004367337734 1506551006601 3013102013202