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10031402233140 = 22352319138058283
BaseRepresentation
bin1001000111111001111000…
…1010101010110100110100
31022111222210200001222110020
42101332132022222310310
52303323302432430030
633200210151525140
72053513333046361
oct221763612526464
938458720058406
1010031402233140
113218326051612
1211601a03897b0
13579c59ba1672
142697458ab468
15125e16c03510
hex91f9e2aad34

10031402233140 has 96 divisors (see below), whose sum is σ = 29462592208896. Its totient is φ = 2545337900160.

The previous prime is 10031402233133. The next prime is 10031402233141. The reversal of 10031402233140 is 4133220413001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10031402233140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031402233141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18765562 + ... + 19292721.

It is an arithmetic number, because the mean of its divisors is an integer number (306902002176).

Almost surely, 210031402233140 is an apocalyptic number.

10031402233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031402233140 is an abundant number, since it is smaller than the sum of its proper divisors (19431189975756).

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

10031402233140 is a wasteful number, since it uses less digits than its factorization.

10031402233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38058509 (or 38058507 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10031402233140 its reverse (4133220413001), we get a palindrome (14164622646141).

The spelling of 10031402233140 in words is "ten trillion, thirty-one billion, four hundred two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 191 230 276 345 382 460 573 690 764 955 1146 1380 1910 2292 2865 3820 4393 5730 8786 11460 13179 17572 21965 26358 43930 52716 65895 87860 131790 263580 38058283 76116566 114174849 152233132 190291415 228349698 380582830 456699396 570874245 761165660 875340509 1141748490 1750681018 2283496980 2626021527 3501362036 4376702545 5252043054 7269132053 8753405090 10504086108 13130107635 14538264106 17506810180 21807396159 26260215270 29076528212 36345660265 43614792318 52520430540 72691320530 87229584636 109036980795 145382641060 167190037219 218073961590 334380074438 436147923180 501570111657 668760148876 835950186095 1003140223314 1671900372190 2006280446628 2507850558285 3343800744380 5015701116570 10031402233140