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202130003100 = 2235216721119121
BaseRepresentation
bin1011110000111111100…
…0110001010010011100
3201022201210021001110010
42330033320301102130
511302430240044400
6232505055243220
720413653451404
oct2741770612234
9638653231403
10202130003100
11787a5132043
1233210b19510
13160a36b353c
149ad6d3b804
1553d0466450
hex2f0fe3149c

202130003100 has 144 divisors (see below), whose sum is σ = 591150663936. Its totient is φ = 53321856000.

The previous prime is 202130003087. The next prime is 202130003129. The reversal of 202130003100 is 1300031202.

It is a happy number.

It is a super-2 number, since 2×2021300031002 (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10561540 + ... + 10580660.

It is an arithmetic number, because the mean of its divisors is an integer number (4105212944).

Almost surely, 2202130003100 is an apocalyptic number.

202130003100 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 202130003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295575331968).

202130003100 is an abundant number, since it is smaller than the sum of its proper divisors (389020660836).

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

202130003100 is a wasteful number, since it uses less digits than its factorization.

202130003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19516 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 202130003100 its reverse (1300031202), we get a palindrome (203430034302).

The spelling of 202130003100 in words is "two hundred two billion, one hundred thirty million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 211 300 334 422 501 633 668 835 844 1002 1055 1266 1670 2004 2110 2505 2532 3165 3340 4175 4220 5010 5275 6330 8350 10020 10550 12525 12660 15825 16700 19121 21100 25050 31650 35237 38242 50100 57363 63300 70474 76484 95605 105711 114726 140948 176185 191210 211422 229452 286815 352370 382420 422844 478025 528555 573630 704740 880925 956050 1057110 1147260 1434075 1761850 1912100 2114220 2642775 2868150 3193207 3523700 4034531 5285550 5736300 6386414 8069062 9579621 10571100 12103593 12772828 15966035 16138124 19159242 20172655 24207186 31932070 38318484 40345310 47898105 48414372 60517965 63864140 79830175 80690620 95796210 100863275 121035930 159660350 191592420 201726550 239490525 242071860 302589825 319320700 403453100 478981050 605179650 673766677 957962100 1210359300 1347533354 2021300031 2695066708 3368833385 4042600062 6737666770 8085200124 10106500155 13475333540 16844166925 20213000310 33688333850 40426000620 50532500775 67376667700 101065001550 202130003100