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2100232223031 = 3171071993176101
BaseRepresentation
bin11110100011111111100…
…110000111100100110111
321102210001210110100022210
4132203333212013210313
5233402233422114111
64244500001224503
7304510466225445
oct36437746074467
97383053410283
102100232223031
1173a781378548
1229b057632133
13123088200b97
147391a6bdb95
15399727d90a6
hex1e8ff987937

2100232223031 has 64 divisors (see below), whose sum is σ = 3017766067200. Its totient is φ = 1294607001600.

The previous prime is 2100232223029. The next prime is 2100232223053. The reversal of 2100232223031 is 1303222320012.

It is a happy number.

It is not a de Polignac number, because 2100232223031 - 21 = 2100232223029 is a prime.

It is a super-2 number, since 2×21002322230312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100232222989 and 2100232223007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100232223071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344240881 + ... + 344246981.

It is an arithmetic number, because the mean of its divisors is an integer number (47152594800).

Almost surely, 22100232223031 is an apocalyptic number.

2100232223031 is a deficient number, since it is larger than the sum of its proper divisors (917533844169).

2100232223031 is a wasteful number, since it uses less digits than its factorization.

2100232223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744.

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

Adding to 2100232223031 its reverse (1303222320012), we get a palindrome (3403454543043).

The spelling of 2100232223031 in words is "two trillion, one hundred billion, two hundred thirty-two million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 17 51 107 199 317 321 597 951 1819 3383 5389 5457 6101 10149 16167 18303 21293 33919 63083 63879 101757 103717 189249 311151 361981 576623 652807 1072411 1085943 1214099 1729869 1934017 1958421 3217233 3642297 5802051 6749881 11097719 20249643 20639683 32878289 33293157 61919049 98634867 114747977 129908593 206939819 344243931 384869383 389725779 620819457 1154608149 2208446081 3517976923 6542779511 6625338243 10553930769 19628338533 41181023981 123543071943 700077407677 2100232223031