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300101131000 = 23531131698609
BaseRepresentation
bin1000101110111110110…
…10111101101011111000
31001200121120020000101201
410113133122331223320
514404101342143000
6345510424423544
730452533345036
oct4273732755370
91050546200351
10300101131000
111062aa2a0540
124a1b3317bb4
13223b7a7a138
141074c749556
157c164d896a
hex45df6bdaf8

300101131000 has 128 divisors (see below), whose sum is σ = 766407096000. Its totient is φ = 109080576000.

The previous prime is 300101130961. The next prime is 300101131013. The reversal of 300101131000 is 131101003.

It is a super-2 number, since 2×3001011310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 34854696 + ... + 34863304.

Almost surely, 2300101131000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300101131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383203548000).

300101131000 is an abundant number, since it is smaller than the sum of its proper divisors (466305965000).

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

300101131000 is a wasteful number, since it uses less digits than its factorization.

300101131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 300101131000 its reverse (131101003), we get a palindrome (300232232003).

The spelling of 300101131000 in words is "three hundred billion, one hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3169 5500 6338 8609 11000 12676 15845 17218 25352 31690 34436 34859 43045 63380 68872 69718 79225 86090 94699 126760 139436 158450 172180 174295 189398 215225 278872 316900 344360 348590 378796 396125 430450 473495 633800 697180 757592 792250 860900 871475 946990 1076125 1394360 1584500 1721800 1742950 1893980 2152250 2367475 3169000 3485900 3787960 4304500 4357375 4734950 6971800 8609000 8714750 9469900 11837375 17429500 18939800 23674750 27281921 34859000 47349500 54563842 94699000 109127684 136409605 218255368 272819210 300101131 545638420 600202262 682048025 1091276840 1200404524 1364096050 1500505655 2400809048 2728192100 3001011310 3410240125 5456384200 6002022620 6820480250 7502528275 12004045240 13640960500 15005056550 27281921000 30010113100 37512641375 60020226200 75025282750 150050565500 300101131000