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3004102433020 = 22513109563188281
BaseRepresentation
bin101011101101110010011…
…101010101100011111100
3101122012010001201110120211
4223231302131111203330
5343204400210324040
610220022100522204
7430016313235153
oct53556235254374
911565101643524
103004102433020
11a5903a563397
1240626b9b0364
1318a393737670
14a5583ab259a
155322499e8ea
hex2bb727558fc

3004102433020 has 96 divisors (see below), whose sum is σ = 6868436984640. Its totient is φ = 1097072916480.

The previous prime is 3004102432999. The next prime is 3004102433027. The reversal of 3004102433020 is 203342014003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3004102432982 and 3004102433000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004102433027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15861280 + ... + 16049560.

It is an arithmetic number, because the mean of its divisors is an integer number (71546218590).

Almost surely, 23004102433020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004102433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434218492320).

3004102433020 is an abundant number, since it is smaller than the sum of its proper divisors (3864334551620).

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

3004102433020 is a wasteful number, since it uses less digits than its factorization.

3004102433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188975 (or 188973 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3004102433020 its reverse (203342014003), we get a palindrome (3207444447023).

The spelling of 3004102433020 in words is "three trillion, four billion, one hundred two million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 563 1090 1126 1417 2180 2252 2815 2834 5630 5668 7085 7319 11260 14170 14638 28340 29276 36595 61367 73190 122734 146380 188281 245468 306835 376562 613670 753124 797771 941405 1227340 1595542 1882810 2447653 3191084 3765620 3988855 4895306 7977710 9790612 12238265 15955420 20522629 24476530 41045258 48953060 82090516 102613145 106002203 205226290 212004406 266794177 410452580 424008812 530011015 533588354 1060022030 1067176708 1333970885 1378028639 2120044060 2667941770 2756057278 5335883540 5512114556 6890143195 11554240127 13780286390 23108480254 27560572780 46216960508 57771200635 115542401270 150205121651 231084802540 300410243302 600820486604 751025608255 1502051216510 3004102433020