Search a number
-
+
10001002010100 = 2235291711363497
BaseRepresentation
bin1001000110001000101000…
…1011000001010111110100
31022102002100000200122021120
42101202022023001113310
52302324023003310400
633134221421343540
72051356103316453
oct221421213012764
938362300618246
1010001002010100
113206445a00042
121156317407bb0
1357712391a5ca
142680a0240b9a
15125237dbeca0
hex9188a2c15f4

10001002010100 has 72 divisors (see below), whose sum is σ = 28936627603968. Its totient is φ = 2666897452800.

The previous prime is 10001002010099. The next prime is 10001002010203. The reversal of 10001002010100 is 101020010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27331552 + ... + 27695048.

Almost surely, 210001002010100 is an apocalyptic number.

10001002010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001002010100 is an abundant number, since it is smaller than the sum of its proper divisors (18935625593868).

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

10001002010100 is a wasteful number, since it uses less digits than its factorization.

10001002010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455225 (or 455218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001002010100 its reverse (101020010001), we get a palindrome (10102022020101).

The spelling of 10001002010100 in words is "ten trillion, one billion, two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 91711 183422 275133 363497 366844 458555 550266 726994 917110 1090491 1100532 1375665 1453988 1817485 1834220 2180982 2292775 2751330 3634970 4361964 4585550 5452455 5502660 6878325 7269940 9087425 9171100 10904910 13756650 18174850 21809820 27262275 27513300 36349700 54524550 109049100 33336673367 66673346734 100010020101 133346693468 166683366835 200020040202 333366733670 400040080404 500050100505 666733467340 833416834175 1000100201010 1666833668350 2000200402020 2500250502525 3333667336700 5000501005050 10001002010100