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1040112221130 = 232589761170633
BaseRepresentation
bin11110010001010111000…
…01001111101111001010
310200102201012122101102200
433020223201033233022
5114020122212034010
62113453154341030
7135100644002103
oct17105341175712
93612635571380
101040112221130
11371122262374
121496b758a776
137710b680428
14384ad8a73aa
151c0c8018cc0
hexf22b84fbca

1040112221130 has 96 divisors (see below), whose sum is σ = 2738286654480. Its totient is φ = 273884835840.

The previous prime is 1040112221129. The next prime is 1040112221167. The reversal of 1040112221130 is 311222110401.

1040112221130 is a `hidden beast` number, since 1 + 0 + 401 + 1 + 22 + 211 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 288636488001 + 751475733129 = 537249^2 + 866877^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6010294 + ... + 6180926.

Almost surely, 21040112221130 is an apocalyptic number.

1040112221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040112221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369143327240).

1040112221130 is an abundant number, since it is smaller than the sum of its proper divisors (1698174433350).

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

1040112221130 is a wasteful number, since it uses less digits than its factorization.

1040112221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171496 (or 171493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1040112221130 its reverse (311222110401), we get a palindrome (1351334331531).

The spelling of 1040112221130 in words is "one trillion, forty billion, one hundred twelve million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 761 801 890 1335 1522 1602 2283 2670 3805 4005 4566 6849 7610 8010 11415 13698 22830 34245 67729 68490 135458 170633 203187 338645 341266 406374 511899 609561 677290 853165 1015935 1023798 1219122 1535697 1706330 2031870 2559495 3047805 3071394 5118990 6095610 7678485 15186337 15356970 30372674 45559011 75931685 91118022 129851713 136677033 151863370 227795055 259703426 273354066 389555139 455590110 649258565 683385165 779110278 1168665417 1298517130 1366770330 1947775695 2337330834 3895551390 5843327085 11556802457 11686654170 23113604914 34670407371 57784012285 69340814742 104011222113 115568024570 173352036855 208022444226 346704073710 520056110565 1040112221130