Search a number
-
+
1020002212020 = 2235111798633843
BaseRepresentation
bin11101101011111001101…
…11101001100010110100
310121111210201010002001110
432311330313221202310
5113202431031241040
62100325455155020
7133456414514661
oct16657467514264
93544721102043
101020002212020
11363642725930
12145824815a70
137525526925c
1437522b46a68
151b7ec7bc980
hexed7cde98b4

1020002212020 has 96 divisors (see below), whose sum is σ = 3133049310720. Its totient is φ = 245891820160.

The previous prime is 1020002212013. The next prime is 1020002212081. The reversal of 1020002212020 is 202122000201.

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 = 1020002211987 and 1020002212005.

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, 4198782 + ... + 4435061.

It is an arithmetic number, because the mean of its divisors is an integer number (32635930320).

Almost surely, 21020002212020 is an apocalyptic number.

1020002212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002212020 is an abundant number, since it is smaller than the sum of its proper divisors (2113047098700).

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

1020002212020 is a wasteful number, since it uses less digits than its factorization.

1020002212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634045 (or 8634043 counting only the distinct ones).

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

Adding to 1020002212020 its reverse (202122000201), we get a palindrome (1222124212221).

The spelling of 1020002212020 in words is "one trillion, twenty billion, two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 537 660 716 895 1074 1790 1969 2148 2685 3580 3938 5370 5907 7876 9845 10740 11814 19690 23628 29535 39380 59070 118140 8633843 17267686 25901529 34535372 43169215 51803058 86338430 94972273 103606116 129507645 172676860 189944546 259015290 284916819 379889092 474861365 518030580 569833638 949722730 1139667276 1424584095 1545457897 1899445460 2849168190 3090915794 4636373691 5698336380 6181831588 7727289485 9272747382 15454578970 17000036867 18545494764 23181868455 30909157940 34000073734 46363736910 51000110601 68000147468 85000184335 92727473820 102000221202 170000368670 204000442404 255000553005 340000737340 510001106010 1020002212020