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1020010210020 = 223255666723389
BaseRepresentation
bin11101101011111010101…
…10001010001011100100
310121111211021011102020200
432311331112022023210
5113202440103210040
62100330342430500
7133456542505524
oct16657526121344
93544737142220
101020010210020
1136364719894a
12145827432430
1375256b097b9
1437523c29684
151b7ed34c630
hexed7d58a2e4

1020010210020 has 36 divisors (see below), whose sum is σ = 3094030970940. Its totient is φ = 272002722624.

The previous prime is 1020010210001. The next prime is 1020010210049. The reversal of 1020010210020 is 200120100201.

It can be written as a sum of positive squares in 2 ways, for example, as 134408757924 + 885601452096 = 366618^2 + 941064^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010209984 and 1020010210011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2833361515 + ... + 2833361874.

Almost surely, 21020010210020 is an apocalyptic number.

1020010210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010210020 is an abundant number, since it is smaller than the sum of its proper divisors (2074020760920).

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

1020010210020 is a wasteful number, since it uses less digits than its factorization.

1020010210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666723404 (or 5666723399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020010210020 its reverse (200120100201), we get a palindrome (1220130310221).

The spelling of 1020010210020 in words is "one trillion, twenty billion, ten million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5666723389 11333446778 17000170167 22666893556 28333616945 34000340334 51000510501 56667233890 68000680668 85000850835 102001021002 113334467780 170001701670 204002042004 255002552505 340003403340 510005105010 1020010210020