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1102021010020 = 225741216188843
BaseRepresentation
bin10000000010010101100…
…100100010001001100100
310220100111201221201021201
4100002111210202021210
5121023414334310040
62202132250452244
7142422052013020
oct20022544421144
93810451851251
101102021010020
11395401148807
121596b4734084
137cbc66ca6a8
143b4a3a71380
151d9ed113a9a
hex10095922264

1102021010020 has 96 divisors (see below), whose sum is σ = 2710643233536. Its totient is φ = 368445542400.

The previous prime is 1102021010003. The next prime is 1102021010023. The reversal of 1102021010020 is 200101202011.

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 = 1102021009979 and 1102021010006.

It is not an unprimeable number, because it can be changed into a prime (1102021010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12359719 + ... + 12448561.

It is an arithmetic number, because the mean of its divisors is an integer number (28235867016).

Almost surely, 21102021010020 is an apocalyptic number.

1102021010020 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 1102021010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355321616768).

1102021010020 is an abundant number, since it is smaller than the sum of its proper divisors (1608622223516).

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

1102021010020 is a wasteful number, since it uses less digits than its factorization.

1102021010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91061 (or 91059 counting only the distinct ones).

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

Adding to 1102021010020 its reverse (200101202011), we get a palindrome (1302122212031).

The spelling of 1102021010020 in words is "one trillion, one hundred two billion, twenty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2161 2870 4322 5740 8644 10805 15127 21610 30254 43220 60508 75635 88601 88843 151270 177202 177686 302540 354404 355372 443005 444215 620207 621901 886010 888430 1240414 1243802 1772020 1776860 2480828 2487604 3101035 3109505 3642563 6202070 6219010 7285126 12404140 12438020 14570252 18212815 25497941 36425630 50995882 72851260 101991764 127489705 191989723 254979410 383979446 509958820 767958892 959948615 1343928061 1919897230 2687856122 3839794460 5375712244 6719640305 7871578643 13439280610 15743157286 26878561220 31486314572 39357893215 55101050501 78715786430 110202101002 157431572860 220404202004 275505252505 551010505010 1102021010020