Search a number
-
+
211103121331030 = 251923411637228393
BaseRepresentation
bin101111111111111101000110…
…100011101101001101010110
31000200110021001111021010100111
4233333331012203231031112
5210132203143030043110
62024551233553033234
762315461066406125
oct5777750643551526
91020407044233314
10211103121331030
116129a3705a9585
121b81524825581a
1390a3c28a788b6
143a1b6349a7abc
1519614239e1e8a
hexbfff468ed356

211103121331030 has 128 divisors (see below), whose sum is σ = 430178496814080. Its totient is φ = 74194528573440.

The previous prime is 211103121331001. The next prime is 211103121331073. The reversal of 211103121331030 is 30133121301112.

It is a junction number, because it is equal to n+sod(n) for n = 211103121330992 and 211103121331010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25590514 + ... + 32818906.

It is an arithmetic number, because the mean of its divisors is an integer number (3360769506360).

Almost surely, 2211103121331030 is an apocalyptic number.

211103121331030 is an abundant number, since it is smaller than the sum of its proper divisors (219075375483050).

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

211103121331030 is a wasteful number, since it uses less digits than its factorization.

211103121331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228646.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 211103121331030 its reverse (30133121301112), we get a palindrome (241236242632142).

The spelling of 211103121331030 in words is "two hundred eleven trillion, one hundred three billion, one hundred twenty-one million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 5 10 19 23 38 41 46 82 95 115 163 190 205 230 326 410 437 779 815 874 943 1558 1630 1886 2185 3097 3749 3895 4370 4715 6194 6683 7498 7790 9430 13366 15485 17917 18745 30970 33415 35834 37490 66830 71231 89585 126977 142462 153709 179170 253954 307418 356155 634885 712310 768545 1269770 1537090 2920471 5840942 7228393 14456786 14602355 29204710 36141965 72283930 137339467 166253039 274678934 296364113 332506078 592728226 686697335 831265195 1178228059 1373394670 1481820565 1662530390 2356456118 2963641130 3158807741 5630918147 5891140295 6317615482 6816374599 11261836294 11782280590 13632749198 15794038705 22386333121 27099245357 28154590735 31588077410 34081872995 44772666242 48307350419 54198490714 56309181470 68163745990 96614700838 111931665605 129511117381 135496226785 223863331210 241536752095 259022234762 270992453570 483073504190 514885661783 647555586905 917839657961 1029771323566 1111069059637 1295111173810 1835679315922 2222138119274 2574428308915 4589198289805 5148856617830 5555345298185 9178396579610 11110690596370 21110312133103 42220624266206 105551560665515 211103121331030