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1011210110020 = 2251141271413681
BaseRepresentation
bin11101011011100001101…
…00011100010001000100
310120200002222020000111001
432231300310130101010
5113031424242010040
62052313222023044
7133025505054355
oct16556064342104
93520088200431
101011210110020
1135a940821530
12143b90277a84
13744838aa136
1436d2b1abd2c
151b4859aa59a
hexeb70d1c444

1011210110020 has 96 divisors (see below), whose sum is σ = 2381855196672. Its totient is φ = 357419520000.

The previous prime is 1011210110017. The next prime is 1011210110023. The reversal of 1011210110020 is 200110121101.

It is an interprime number because it is at equal distance from previous prime (1011210110017) and next prime (1011210110023).

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 = 1011210109979 and 1011210110006.

It is not an unprimeable number, because it can be changed into a prime (1011210110023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2237580 + ... + 2651260.

It is an arithmetic number, because the mean of its divisors is an integer number (24810991632).

Almost surely, 21011210110020 is an apocalyptic number.

1011210110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011210110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190927598336).

1011210110020 is an abundant number, since it is smaller than the sum of its proper divisors (1370645086652).

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

1011210110020 is a wasteful number, since it uses less digits than its factorization.

1011210110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414013 (or 414011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011210110020 its reverse (200110121101), we get a palindrome (1211320231121).

It can be divided in two parts, 101 and 1210110020, that added together give a palindrome (1210110121).

The spelling of 1011210110020 in words is "one trillion, eleven billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 11111 11924 14905 22222 29810 44444 55555 59620 111110 122221 222220 244442 413681 488884 611105 827362 1222210 1654724 2068405 2444420 4136810 4550491 8273620 9100982 16960921 18201964 22752455 33921842 45504910 67843684 84804605 91009820 112107551 169609210 186570131 224215102 339218420 373140262 448430204 560537755 746280524 932850655 1121075510 1233183061 1865701310 2242151020 2466366122 3731402620 4596409591 4932732244 6165915305 9192819182 12331830610 18385638364 22982047955 24663661220 45964095910 50560505501 91928191820 101121011002 202242022004 252802527505 505605055010 1011210110020