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202130203020 = 223537214342487
BaseRepresentation
bin1011110000111111100…
…1100010000110001100
3201022201210122012200120
42330033321202012030
511302430312444040
6232505103424540
720413655243304
oct2741771420614
9638653565616
10202130203020
11787a5259269
1233210bb5150
13160a3753535
149ad6d90604
1553d04a57d0
hex2f0fe6218c

202130203020 has 96 divisors (see below), whose sum is σ = 581545832448. Its totient is φ = 52418886912.

The previous prime is 202130203001. The next prime is 202130203049. The reversal of 202130203020 is 20302031202.

202130203020 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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4736217 + ... + 4778703.

It is an arithmetic number, because the mean of its divisors is an integer number (6057769088).

Almost surely, 2202130203020 is an apocalyptic number.

202130203020 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 202130203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290772916224).

202130203020 is an abundant number, since it is smaller than the sum of its proper divisors (379415629428).

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

202130203020 is a wasteful number, since it uses less digits than its factorization.

202130203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44679 (or 44677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202130203020 its reverse (20302031202), we get a palindrome (222432234222).

The spelling of 202130203020 in words is "two hundred two billion, one hundred thirty million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2143 2220 4286 6429 8572 10715 12858 21430 25716 32145 42487 42860 64290 79291 84974 127461 128580 158582 169948 212435 237873 254922 317164 396455 424870 475746 509844 637305 792910 849740 951492 1189365 1274610 1572019 1585820 2378730 2549220 3144038 4716057 4757460 6288076 7860095 9432114 15720190 18864228 23580285 31440380 47160570 91049641 94321140 182099282 273148923 364198564 455248205 546297846 910496410 1092595692 1365744615 1820992820 2731489230 3368836717 5462978460 6737673434 10106510151 13475346868 16844183585 20213020302 33688367170 40426040604 50532550755 67376734340 101065101510 202130203020