Search a number
-
+
1020112202220 = 2235374111207561
BaseRepresentation
bin11101101100000110110…
…11001110100111101100
310121112002101002011020120
432312003123032213230
5113203142210432340
62100344424444540
7133462221436056
oct16660333164754
93545071064216
101020112202220
11363699820121
12145855619750
1375271c9a007
14375335b88d6
151b8072974d0
hexed836ce9ec

1020112202220 has 96 divisors (see below), whose sum is σ = 3005061183936. Its totient is φ = 258222182400.

The previous prime is 1020112202209. The next prime is 1020112202243. The reversal of 1020112202220 is 222022110201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020112202220.

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, 5512761 + ... + 5694800.

It is an arithmetic number, because the mean of its divisors is an integer number (31302720666).

Almost surely, 21020112202220 is an apocalyptic number.

1020112202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020112202220 is an abundant number, since it is smaller than the sum of its proper divisors (1984948981716).

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

1020112202220 is a wasteful number, since it uses less digits than its factorization.

1020112202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207651 (or 11207649 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020112202220 its reverse (222022110201), we get a palindrome (1242134312421).

The spelling of 1020112202220 in words is "one trillion, twenty billion, one hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2460 3034 4551 6068 7585 9102 15170 18204 22755 30340 45510 91020 11207561 22415122 33622683 44830244 56037805 67245366 112075610 134490732 168113415 224151220 336226830 414679757 459510001 672453660 829359514 919020002 1244039271 1378530003 1658719028 1838040004 2073398785 2297550005 2488078542 2757060006 4146797570 4595100010 4976157084 5514120012 6220196355 6892650015 8293595140 9190200020 12440392710 13785300030 17001870037 24880785420 27570600060 34003740074 51005610111 68007480148 85009350185 102011220222 170018700370 204022440444 255028050555 340037400740 510056101110 1020112202220