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10130312334300 = 22352791672559517
BaseRepresentation
bin1001001101101010010110…
…1010110000101111011100
31022212110002212212201120020
42103122211222300233130
52311433334424144200
633313445022352140
72063614404042264
oct223324552605734
938773085781506
1010130312334300
113256272241574
1211773a512b650
13586390959042
14270449c9c7a4
151287a53eeea0
hex936a5ab0bdc

10130312334300 has 144 divisors (see below), whose sum is σ = 29859132226560. Its totient is φ = 2651249053440.

The previous prime is 10130312334269. The next prime is 10130312334383. The reversal of 10130312334300 is 343321303101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2678142 + ... + 5237658.

Almost surely, 210130312334300 is an apocalyptic number.

10130312334300 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 10130312334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929566113280).

10130312334300 is an abundant number, since it is smaller than the sum of its proper divisors (19728819892260).

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

10130312334300 is a wasteful number, since it uses less digits than its factorization.

10130312334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559780 (or 2559773 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10130312334300 its reverse (343321303101), we get a palindrome (10473633637401).

The spelling of 10130312334300 in words is "ten trillion, one hundred thirty billion, three hundred twelve million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 167 237 300 316 334 395 474 501 668 790 835 948 1002 1185 1580 1670 1975 2004 2370 2505 3340 3950 4175 4740 5010 5925 7900 8350 10020 11850 12525 13193 16700 23700 25050 26386 39579 50100 52772 65965 79158 131930 158316 197895 263860 329825 395790 659650 791580 989475 1319300 1978950 2559517 3957900 5119034 7678551 10238068 12797585 15357102 25595170 30714204 38392755 51190340 63987925 76785510 127975850 153571020 191963775 202201843 255951700 383927550 404403686 427439339 606605529 767855100 808807372 854878678 1011009215 1213211058 1282318017 1709757356 2022018430 2137196695 2426422116 2564636034 3033027645 4044036860 4274393390 5055046075 5129272068 6066055290 6411590085 8548786780 10110092150 10685983475 12132110580 12823180170 15165138225 20220184300 21371966950 25646360340 30330276450 32057950425 33767707781 42743933900 60660552900 64115900850 67535415562 101303123343 128231801700 135070831124 168838538905 202606246686 337677077810 405212493372 506515616715 675354155620 844192694525 1013031233430 1688385389050 2026062466860 2532578083575 3376770778100 5065156167150 10130312334300