Search a number
-
+
10200012220020 = 2235785328470977
BaseRepresentation
bin1001010001101110000000…
…0110101110011001110100
31100010010000101111210001010
42110123200012232121310
52314104111112020040
633405453153032220
72101632545225220
oct224334006563164
940103011453033
1010200012220020
113282889a91307
1211889b7555670
1358cb1ab6587c
1427397cab1780
1512a4d44cce80
hex946e01ae674

10200012220020 has 96 divisors (see below), whose sum is σ = 32678305244928. Its totient is φ = 2328698068992.

The previous prime is 10200012219989. The next prime is 10200012220031. The reversal of 10200012220020 is 2002221000201.

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 = 10200012219978 and 10200012220005.

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, 13877229 + ... + 14593748.

It is an arithmetic number, because the mean of its divisors is an integer number (340399012968).

Almost surely, 210200012220020 is an apocalyptic number.

10200012220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200012220020 is an abundant number, since it is smaller than the sum of its proper divisors (22478293024908).

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

10200012220020 is a wasteful number, since it uses less digits than its factorization.

10200012220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28471849 (or 28471847 counting only the distinct ones).

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

Adding to 10200012220020 its reverse (2002221000201), we get a palindrome (12202233220221).

The spelling of 10200012220020 in words is "ten trillion, two hundred billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 853 1706 2559 3412 4265 5118 5971 8530 10236 11942 12795 17060 17913 23884 25590 29855 35826 51180 59710 71652 89565 119420 179130 358260 28470977 56941954 85412931 113883908 142354885 170825862 199296839 284709770 341651724 398593678 427064655 569419540 597890517 797187356 854129310 996484195 1195781034 1708258620 1992968390 2391562068 2989452585 3985936780 5978905170 11957810340 24285743381 48571486762 72857230143 97142973524 121428716905 145714460286 170000203667 242857433810 291428920572 340000407334 364286150715 485714867620 510000611001 680000814668 728572301430 850001018335 1020001222002 1457144602860 1700002036670 2040002444004 2550003055005 3400004073340 5100006110010 10200012220020