Search a number
-
+
1102250219928 = 23311131144728057
BaseRepresentation
bin10000000010100011001…
…110111001100110011000
310220101002201020210011120
4100002203032321212120
5121024402024014203
62202211115325240
7142430534165334
oct20024316714630
93811081223146
101102250219928
11395509571590
12159759450820
137cc32041160
143b4c62987c4
151da132dcb53
hex100a33b9998

1102250219928 has 128 divisors (see below), whose sum is σ = 3237776478720. Its totient is φ = 308283816960.

The previous prime is 1102250219881. The next prime is 1102250219929. The reversal of 1102250219928 is 8299120522011.

It is a self number, because there is not a number n which added to its sum of digits gives 1102250219928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102250219929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39272076 + ... + 39300132.

It is an arithmetic number, because the mean of its divisors is an integer number (25295128740).

Almost surely, 21102250219928 is an apocalyptic number.

It is an amenable number.

1102250219928 is an abundant number, since it is smaller than the sum of its proper divisors (2135526258792).

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

1102250219928 is a wasteful number, since it uses less digits than its factorization.

1102250219928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39537 (or 39533 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 1102250219928 in words is "one trillion, one hundred two billion, two hundred fifty million, two hundred nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 11447 22894 28057 34341 45788 56114 68682 84171 91576 112228 125917 137364 148811 168342 224456 251834 274728 297622 308627 336684 364741 377751 446433 503668 595244 617254 673368 729482 755502 892866 925881 1007336 1094223 1190488 1234508 1458964 1511004 1636921 1785732 1851762 2188446 2469016 2917928 3022008 3273842 3571464 3703524 4012151 4376892 4910763 6547684 7407048 8024302 8753784 9821526 12036453 13095368 16048604 19643052 24072906 32097208 39286104 48145812 96291624 321168479 642336958 963505437 1284673916 1927010874 2569347832 3532853269 3854021748 4175190227 7065706538 7708043496 8350380454 10598559807 12525570681 14131413076 16700760908 21197119614 25051141362 28262826152 33401521816 42394239228 45927092497 50102282724 84788478456 91854184994 100204565448 137781277491 183708369988 275562554982 367416739976 551125109964 1102250219928