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1020202534120 = 235721147319227
BaseRepresentation
bin11101101100010001100…
…11110100010011101000
310121112022200001111022111
432312020303310103220
5113203333322042440
62100401412532104
7133464366313300
oct16661063642350
93545280044274
101020202534120
11363735808890
1214587b921034
1375287907043
14375415b0600
151b81018c4ea
hexed88cf44e8

1020202534120 has 96 divisors (see below), whose sum is σ = 2912971675680. Its totient is φ = 317985198720.

The previous prime is 1020202534093. The next prime is 1020202534121. The reversal of 1020202534120 is 214352020201.

It is a happy number.

1020202534120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1020202534091 and 1020202534100.

It is not an unprimeable number, because it can be changed into a prime (1020202534121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23638054 + ... + 23681173.

It is an arithmetic number, because the mean of its divisors is an integer number (30343454955).

Almost surely, 21020202534120 is an apocalyptic number.

1020202534120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020202534120 is an abundant number, since it is smaller than the sum of its proper divisors (1892769141560).

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

1020202534120 is a wasteful number, since it uses less digits than its factorization.

1020202534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47319263 (or 47319252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1020202534120 its reverse (214352020201), we get a palindrome (1234554554321).

The spelling of 1020202534120 in words is "one trillion, twenty billion, two hundred two million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 47319227 94638454 189276908 236596135 331234589 378553816 473192270 520511497 662469178 946384540 1041022994 1324938356 1656172945 1892769080 2082045988 2318642123 2602557485 2649876712 3312345890 3643580479 4164091976 4637284246 5205114970 6624691780 7287160958 9274568492 10410229940 11593210615 13249383560 14574321916 18217902395 18549136984 20820459880 23186421230 25505063353 29148643832 36435804790 46372842460 51010126706 72871609580 92745684920 102020253412 127525316765 145743219160 204040506824 255050633530 510101267060 1020202534120