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34020131203140 = 223517151220881257
BaseRepresentation
bin1111011110000111011011…
…10101011110100001000100
311110110021220102210112112120
413233003231311132201010
513424341212042000030
6200204344342445540
710110605364660555
oct757035565364104
9143407812715476
1034020131203140
11a926947185595
1239953b51338b0
1315ca113b5c8b4
148588241a632c
153dee1d2ba010
hex1ef0edd5e844

34020131203140 has 96 divisors (see below), whose sum is σ = 101527628477184. Its totient is φ = 8481840230400.

The previous prime is 34020131203127. The next prime is 34020131203153. The reversal of 34020131203140 is 4130213102043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34020131203127) and next prime (34020131203153).

It is a self number, because there is not a number n which added to its sum of digits gives 34020131203140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110286609 + ... + 110594648.

It is an arithmetic number, because the mean of its divisors is an integer number (1057579463304).

Almost surely, 234020131203140 is an apocalyptic number.

34020131203140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34020131203140 is an abundant number, since it is smaller than the sum of its proper divisors (67507497274044).

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

34020131203140 is a wasteful number, since it uses less digits than its factorization.

34020131203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220881437 (or 220881435 counting only the distinct ones).

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

Adding to 34020131203140 its reverse (4130213102043), we get a palindrome (38150344305183).

The spelling of 34020131203140 in words is "thirty-four trillion, twenty billion, one hundred thirty-one million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 151 170 204 255 302 340 453 510 604 755 906 1020 1510 1812 2265 2567 3020 4530 5134 7701 9060 10268 12835 15402 25670 30804 38505 51340 77010 154020 220881257 441762514 662643771 883525028 1104406285 1325287542 2208812570 2650575084 3313218855 3754981369 4417625140 6626437710 7509962738 11264944107 13252875420 15019925476 18774906845 22529888214 33353069807 37549813690 45059776428 56324720535 66706139614 75099627380 100059209421 112649441070 133412279228 166765349035 200118418842 225298882140 333530698070 400236837684 500296047105 567002186719 667061396140 1000592094210 1134004373438 1701006560157 2001184188420 2268008746876 2835010933595 3402013120314 5670021867190 6804026240628 8505032800785 11340043734380 17010065601570 34020131203140