Search a number
-
+
102001220220 = 223528347912541
BaseRepresentation
bin101111011111110111…
…1110001101001111100
3100202021122021212022010
41132333233301221330
53132344303021340
6114505252051220
710240454031534
oct1367757615174
9322248255263
10102001220220
113a293036509
1217928003b10
1398072c3313
144d18b564c4
1529bec8db80
hex17bfbf1a7c

102001220220 has 96 divisors (see below), whose sum is σ = 287233873920. Its totient is φ = 27045469440.

The previous prime is 102001220213. The next prime is 102001220231. The reversal of 102001220220 is 22022100201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102001220196 and 102001220205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8127150 + ... + 8139690.

It is an arithmetic number, because the mean of its divisors is an integer number (2992019520).

Almost surely, 2102001220220 is an apocalyptic number.

102001220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001220220 is an abundant number, since it is smaller than the sum of its proper divisors (185232653700).

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

102001220220 is a wasteful number, since it uses less digits than its factorization.

102001220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315 (or 13313 counting only the distinct ones).

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

Adding to 102001220220 its reverse (22022100201), we get a palindrome (124023320421).

The spelling of 102001220220 in words is "one hundred two billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 479 566 849 958 1132 1415 1437 1698 1916 2395 2830 2874 3396 4245 4790 5660 5748 7185 8490 9580 12541 14370 16980 25082 28740 37623 50164 62705 75246 125410 135557 150492 188115 250820 271114 376230 406671 542228 677785 752460 813342 1355570 1626684 2033355 2711140 3549103 4066710 6007139 7098206 8133420 10647309 12014278 14196412 17745515 18021417 21294618 24028556 30035695 35491030 36042834 42589236 53236545 60071390 70982060 72085668 90107085 106473090 120142780 180214170 212946180 360428340 1700020337 3400040674 5100061011 6800081348 8500101685 10200122022 17000203370 20400244044 25500305055 34000406740 51000610110 102001220220