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10434131130030 = 2355910954082471
BaseRepresentation
bin1001011111010110001010…
…1011011111011010101110
31100221111022112112200020020
42113311202223133122232
52331423100032130110
634105212413503010
72124561332146116
oct227654253373256
940844275480206
1010434131130030
1133630aa0075a3
1212062554a1a66
135a8c1b9a329a
1428102c266046
15131637e8dd70
hex97d62adf6ae

10434131130030 has 64 divisors (see below), whose sum is σ = 25699990694400. Its totient is φ = 2710180736640.

The previous prime is 10434131130019. The next prime is 10434131130103. The reversal of 10434131130030 is 3003113143401.

It is a super-2 number, since 2×104341311300302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 26848306 + ... + 27234165.

It is an arithmetic number, because the mean of its divisors is an integer number (401562354600).

Almost surely, 210434131130030 is an apocalyptic number.

10434131130030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434131130030 is an abundant number, since it is smaller than the sum of its proper divisors (15265859564370).

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

10434131130030 is a wasteful number, since it uses less digits than its factorization.

10434131130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54082649.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10434131130030 its reverse (3003113143401), we get a palindrome (13437244273431).

The spelling of 10434131130030 in words is "ten trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 59 109 118 177 218 295 327 354 545 590 654 885 1090 1635 1770 3270 6431 12862 19293 32155 38586 64310 96465 192930 54082471 108164942 162247413 270412355 324494826 540824710 811237065 1622474130 3190865789 5894989339 6381731578 9572597367 11789978678 15954328945 17684968017 19145194734 29474946695 31908657890 35369936034 47862986835 58949893390 88424840085 95725973670 176849680170 347804371001 695608742002 1043413113003 1739021855005 2086826226006 3478043710010 5217065565015 10434131130030