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1011200210020 = 2257211137215643
BaseRepresentation
bin11101011011100000011…
…10101011010001100100
310120200002021121001020101
432231300032223101210
5113031414223210040
62052312225513444
7133025324652400
oct16556016532144
93520067531211
101011200210020
1135a93617a510
12143b88aa2884
1374481821c50
1436d29b52100
151b484ba209a
hexeb703ab464

1011200210020 has 144 divisors (see below), whose sum is σ = 2902074291648. Its totient is φ = 290934685440.

The previous prime is 1011200210017. The next prime is 1011200210077. The reversal of 1011200210020 is 200120021101.

1011200210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011200209979 and 1011200210006.

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, 3467682 + ... + 3747961.

It is an arithmetic number, because the mean of its divisors is an integer number (20153293692).

Almost surely, 21011200210020 is an apocalyptic number.

1011200210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011200210020 is an abundant number, since it is smaller than the sum of its proper divisors (1890874081628).

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

1011200210020 is a wasteful number, since it uses less digits than its factorization.

1011200210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215690 (or 7215681 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011200210020 its reverse (200120021101), we get a palindrome (1211320231121).

The spelling of 1011200210020 in words is "one trillion, eleven billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 7215643 14431286 28862572 36078215 50509501 72156430 79372073 93803359 101019002 144312860 158744146 187606718 202038004 252547505 317488292 353566507 375213436 396860365 469016795 505095010 555604511 656623513 707133014 793720730 938033590 1010190020 1031836949 1111209022 1313247026 1414266028 1587441460 1767832535 1876067180 2063673898 2222418044 2626494052 2778022555 3283117565 3535665070 3889231577 4127347796 4596364591 5159184745 5556045110 6566235130 7071330140 7222858643 7778463154 9192729182 10318369490 11112090220 13132470260 14445717286 15556926308 18385458364 19446157885 20636738980 22981822955 28891434572 36114293215 38892315770 45963645910 50560010501 72228586430 77784631540 91927291820 101120021002 144457172860 202240042004 252800052505 505600105010 1011200210020