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10100220110010 = 2325112224667889
BaseRepresentation
bin1001001011111010010000…
…0010000010010010111010
31022202120102201001100020200
42102332210002002102322
52310440222322010020
633251551013503030
72061500604255042
oct222764402022272
938676381040220
1010100220110010
11324452aa38018
1211715a7341a76
135835a6443774
1426cbd34c8722
15127ae365a590
hex92fa40824ba

10100220110010 has 24 divisors (see below), whose sum is σ = 26260572286260. Its totient is φ = 2693392029312.

The previous prime is 10100220109949. The next prime is 10100220110023. The reversal of 10100220110010 is 1001102200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9436022819721 + 664197290289 = 3071811^2 + 814983^2 .

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 = 10100220109974 and 10100220110001.

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, 56112333855 + ... + 56112334034.

Almost surely, 210100220110010 is an apocalyptic number.

10100220110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100220110010 is an abundant number, since it is smaller than the sum of its proper divisors (16160352176250).

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

10100220110010 is a wasteful number, since it uses less digits than its factorization.

10100220110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112224667902 (or 112224667899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100220110010 its reverse (1001102200101), we get a palindrome (11101322310111).

The spelling of 10100220110010 in words is "ten trillion, one hundred billion, two hundred twenty million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112224667889 224449335778 336674003667 561123339445 673348007334 1010022011001 1122246678890 1683370018335 2020044022002 3366740036670 5050110055005 10100220110010