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1105051000088 = 2371923148730367
BaseRepresentation
bin10000000101001010001…
…011000001110100011000
310220122022220102011021002
4100011022023001310120
5121101121024000323
62203353050004132
7142560123343220
oct20051213016430
93818286364232
101105051000088
11396716532132
1215a1bb416648
138028a382519
143b6b0243080
151db2912d828
hex1014a2c1d18

1105051000088 has 128 divisors (see below), whose sum is σ = 2602804838400. Its totient is φ = 428857317504.

The previous prime is 1105051000087. The next prime is 1105051000091. The reversal of 1105051000088 is 8800001505011.

It is a super-2 number, since 2×11050510000882 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1105051000088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105051000087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36374681 + ... + 36405047.

It is an arithmetic number, because the mean of its divisors is an integer number (20334412800).

Almost surely, 21105051000088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105051000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301402419200).

1105051000088 is an abundant number, since it is smaller than the sum of its proper divisors (1497753838312).

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

1105051000088 is a wasteful number, since it uses less digits than its factorization.

1105051000088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31909 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 29.

Adding to 1105051000088 its reverse (8800001505011), we get a palindrome (9905052505099).

The spelling of 1105051000088 in words is "one trillion, one hundred five billion, fifty-one million, eighty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 874 1064 1288 1487 1748 2974 3059 3496 5948 6118 10409 11896 12236 20818 24472 28253 30367 34201 41636 56506 60734 68402 83272 113012 121468 136804 197771 212569 226024 239407 242936 273608 395542 425138 478814 576973 649819 698441 791084 850276 957628 1153946 1299638 1396882 1582168 1700552 1915256 2307892 2599276 2793764 4038811 4548733 4615784 4889087 5198552 5587528 8077622 9097466 9778174 13270379 16155244 18194932 19556348 26540758 32310488 36389864 39112696 45155729 53081516 90311458 92892653 106163032 180622916 185785306 316090103 361245832 371570612 632180206 743141224 857958851 1038581767 1264360412 1715917702 2077163534 2528720824 3431835404 4154327068 6005711957 6863670808 7270072369 8308654136 12011423914 14540144738 19733053573 24022847828 29080289476 39466107146 48045695656 58160578952 78932214292 138131375011 157864428584 276262750022 552525500044 1105051000088