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202102231020 = 223537523174067
BaseRepresentation
bin1011110000111000111…
…0110100111111101100
3201022122212000002022120
42330032032310333230
511302401132343040
6232502224112540
720413165422264
oct2741616647754
9638585002276
10202102231020
1178790493508
1233203765750
131609aa0b661
149ad338c7a4
1553ccccc7d0
hex2f0e3b4fec

202102231020 has 96 divisors (see below), whose sum is σ = 582295058688. Its totient is φ = 52336772352.

The previous prime is 202102231007. The next prime is 202102231039. The reversal of 202102231020 is 20132201202.

It is a happy number.

It is a super-2 number, since 2×2021022310202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074027 + ... + 1248093.

It is an arithmetic number, because the mean of its divisors is an integer number (6065573528).

Almost surely, 2202102231020 is an apocalyptic number.

202102231020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291147529344).

202102231020 is an abundant number, since it is smaller than the sum of its proper divisors (380192827668).

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

202102231020 is a wasteful number, since it uses less digits than its factorization.

202102231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174639 (or 174637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202102231020 its reverse (20132201202), we get a palindrome (222234432222).

The spelling of 202102231020 in words is "two hundred two billion, one hundred two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 523 555 740 1046 1110 1569 2092 2220 2615 3138 5230 6276 7845 10460 15690 19351 31380 38702 58053 77404 96755 116106 174067 193510 232212 290265 348134 387020 522201 580530 696268 870335 1044402 1161060 1740670 2088804 2611005 3481340 5222010 6440479 10444020 12880958 19321437 25761916 32202395 38642874 64404790 77285748 91037041 96607185 128809580 182074082 193214370 273111123 364148164 386428740 455185205 546222246 910370410 1092444492 1365555615 1820740820 2731111230 3368370517 5462222460 6736741034 10105111551 13473482068 16841852585 20210223102 33683705170 40420446204 50525557755 67367410340 101051115510 202102231020