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103020203220231 = 31137761110872051
BaseRepresentation
bin10111011011001001000010…
…100111100001110100000111
3111111202122011002111201201210
4113123021002213201310013
5102000340334011021411
61003034454503222503
730461651450012133
oct2733110247416407
9444678132451653
10103020203220231
112a909693a94280
12b67a009747a33
1345639c049471b
141b622c0db03c3
15bd9bd2a22ca6
hex5db2429e1d07

103020203220231 has 32 divisors (see below), whose sum is σ = 154099734610176. Its totient is φ = 60669185760000.

The previous prime is 103020203220203. The next prime is 103020203220437. The reversal of 103020203220231 is 132022302020301.

It is a happy number.

It is not a de Polignac number, because 103020203220231 - 229 = 103019666349319 is a prime.

It is a super-2 number, since 2×1030202032202312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103020203220198 and 103020203220207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020203222231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54506845 + ... + 56365206.

It is an arithmetic number, because the mean of its divisors is an integer number (4815616706568).

Almost surely, 2103020203220231 is an apocalyptic number.

103020203220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103020203220231 is a deficient number, since it is larger than the sum of its proper divisors (51079531389945).

103020203220231 is a wasteful number, since it uses less digits than its factorization.

103020203220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110872863.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103020203220231 its reverse (132022302020301), we get a palindrome (235042505240532).

The spelling of 103020203220231 in words is "one hundred three trillion, twenty billion, two hundred three million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 11 33 37 111 407 761 1221 2283 8371 25113 28157 84471 309727 929181 110872051 332616153 1219592561 3658777683 4102265887 12306797661 45124924757 84373630811 135374774271 253120892433 928109938921 2784329816763 3121824340007 9365473020021 34340067740077 103020203220231