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1130122131000 = 233531699221723
BaseRepresentation
bin10000011100100000100…
…001110011011000111000
311000001001011011120100020
4100130200201303120320
5122003442231143000
62223100531210440
7144435323421312
oct20344041633070
94001034146306
101130122131000
113a6311531935
12163037746a20
1382754562225
143c9abc247b2
151e5e51a1ba0
hex10720873638

1130122131000 has 128 divisors (see below), whose sum is σ = 3528072288000. Its totient is φ = 301187164800.

The previous prime is 1130122130947. The next prime is 1130122131007. The reversal of 1130122131000 is 1312210311.

It is a happy number.

It is a super-2 number, since 2×11301221310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130122131007) 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, 4986139 + ... + 5207861.

It is an arithmetic number, because the mean of its divisors is an integer number (27563064750).

Almost surely, 21130122131000 is an apocalyptic number.

1130122131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130122131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764036144000).

1130122131000 is an abundant number, since it is smaller than the sum of its proper divisors (2397950157000).

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

1130122131000 is a wasteful number, since it uses less digits than its factorization.

1130122131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223446 (or 223432 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1130122131000 its reverse (1312210311), we get a palindrome (1131434341311).

The spelling of 1130122131000 in words is "one trillion, one hundred thirty billion, one hundred twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1699 3000 3398 5097 6796 8495 10194 13592 16990 20388 25485 33980 40776 42475 50970 67960 84950 101940 127425 169900 203880 212375 221723 254850 339800 424750 443446 509700 637125 665169 849500 886892 1019400 1108615 1274250 1330338 1699000 1773784 2217230 2548500 2660676 3325845 4434460 5097000 5321352 5543075 6651690 8868920 11086150 13303380 16629225 22172300 26606760 27715375 33258450 44344600 55430750 66516900 83146125 110861500 133033800 166292250 221723000 332584500 376707377 665169000 753414754 1130122131 1506829508 1883536885 2260244262 3013659016 3767073770 4520488524 5650610655 7534147540 9040977048 9417684425 11301221310 15068295080 18835368850 22602442620 28253053275 37670737700 45204885240 47088422125 56506106550 75341475400 94176844250 113012213100 141265266375 188353688500 226024426200 282530532750 376707377000 565061065500 1130122131000