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1020201002004 = 223383895124799
BaseRepresentation
bin11101101100010001011…
…01111110010000010100
310121112022120011122122110
432312020231332100110
5113203332424031004
62100401320031020
7133464350302422
oct16661055762024
93545276148573
101020201002004
11363734961778
1214587b302470
13752874bb872
14375412d2112
151b80ee88589
hexed88b7e414

1020201002004 has 48 divisors (see below), whose sum is σ = 2387047219200. Its totient is φ = 339127528800.

The previous prime is 1020201002003. The next prime is 1020201002113. The reversal of 1020201002004 is 4002001020201.

1020201002004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10202010020042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41126397 + ... + 41151195.

It is an arithmetic number, because the mean of its divisors is an integer number (49730150400).

Almost surely, 21020201002004 is an apocalyptic number.

It is an amenable number.

1020201002004 is an abundant number, since it is smaller than the sum of its proper divisors (1366846217196).

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

1020201002004 is a wasteful number, since it uses less digits than its factorization.

1020201002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34140 (or 34138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020201002004 its reverse (4002001020201), we get a palindrome (5022202022205).

The spelling of 1020201002004 in words is "one trillion, twenty billion, two hundred one million, two thousand, four".

Divisors: 1 2 3 4 6 12 383 766 1149 1532 2298 4596 8951 17902 24799 26853 35804 49598 53706 74397 99196 107412 148794 297588 3428233 6856466 9498017 10284699 13712932 18996034 20569398 28494051 37992068 41138796 56988102 113976204 221975849 443951698 665927547 887903396 1331855094 2663710188 85016750167 170033500334 255050250501 340067000668 510100501002 1020201002004