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10203100020 = 22325371531997
BaseRepresentation
bin10011000000010011…
…01111001101110100
3222100001221011222100
421200021233031310
5131343443200040
64404235502100
7510561630201
oct114011571564
928301834870
1010203100020
114366425073
121b88bb7930
13c67abb7b9
146cb110ca8
153eab2ab30
hex26026f374

10203100020 has 72 divisors (see below), whose sum is σ = 31785894504. Its totient is φ = 2647289088.

The previous prime is 10203100009. The next prime is 10203100021. The reversal of 10203100020 is 2000130201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1613146896 + 8589953124 = 40164^2 + 92682^2 .

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 = 10203099975 and 10203100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203100021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759339 + ... + 772658.

It is an arithmetic number, because the mean of its divisors is an integer number (441470757).

Almost surely, 210203100020 is an apocalyptic number.

10203100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203100020 is an abundant number, since it is smaller than the sum of its proper divisors (21582794484).

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

10203100020 is a wasteful number, since it uses less digits than its factorization.

10203100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532049 (or 1532044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10203100020 its reverse (2000130201), we get a palindrome (12203230221).

The spelling of 10203100020 in words is "ten billion, two hundred three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 1531997 3063994 4595991 6127988 7659985 9191982 13787973 15319970 18383964 22979955 27575946 30639940 45959910 55151892 56683889 68939865 91919820 113367778 137879730 170051667 226735556 275759460 283419445 340103334 510155001 566838890 680206668 850258335 1020310002 1133677780 1700516670 2040620004 2550775005 3401033340 5101550010 10203100020