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30132300131120 = 2451143929857167
BaseRepresentation
bin1101101100111101110010…
…00010111010101100110000
310221200121201210201202211102
412312132321002322230300
512422141422313143440
6144030330530103532
76226662326062205
oct666367102725460
9127617653652742
1030132300131120
1196680449707a0
123467a1241aba8
1313a7604a037c5
147625a8119cac
15373c24a37b15
hex1b67b90bab30

30132300131120 has 160 divisors (see below), whose sum is σ = 78288102097920. Its totient is φ = 10690848645120.

The previous prime is 30132300131071. The next prime is 30132300131137. The reversal of 30132300131120 is 2113100323103.

It is a super-2 number, since 2×301323001311202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30132300131092 and 30132300131101.

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, 34724777 + ... + 35581943.

It is an arithmetic number, because the mean of its divisors is an integer number (489300638112).

Almost surely, 230132300131120 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 30132300131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39144051048960).

30132300131120 is an abundant number, since it is smaller than the sum of its proper divisors (48155801966800).

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

30132300131120 is a wasteful number, since it uses less digits than its factorization.

30132300131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858163 (or 858157 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 30132300131120 its reverse (2113100323103), we get a palindrome (32245400454223).

The spelling of 30132300131120 in words is "thirty trillion, one hundred thirty-two billion, three hundred million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 929 946 1720 1858 1892 2365 3440 3716 3784 4645 4730 7432 7568 9290 9460 10219 14864 18580 18920 20438 37160 37840 39947 40876 51095 74320 79894 81752 102190 159788 163504 199735 204380 319576 399470 408760 439417 639152 798940 817520 857167 878834 1597880 1714334 1757668 2197085 3195760 3428668 3515336 4285835 4394170 6857336 7030672 8571670 8788340 9428837 13714672 17143340 17576680 18857674 34286680 35153360 36858181 37715348 47144185 68573360 73716362 75430696 94288370 147432724 150861392 184290905 188576740 294865448 368581810 377153480 405439991 589730896 737163620 754306960 796308143 810879982 1474327240 1592616286 1621759964 2027199955 2948654480 3185232572 3243519928 3981540715 4054399910 6370465144 6487039856 7963081430 8108799820 8759389573 12740930288 15926162860 16217599640 17518779146 31852325720 32435199280 34241250149 35037558292 43796947865 63704651440 68482500298 70075116584 87593895730 136965000596 140150233168 171206250745 175187791460 273930001192 342412501490 350375582920 376653751639 547860002384 684825002980 700751165840 753307503278 1369650005960 1506615006556 1883268758195 2739300011920 3013230013112 3766537516390 6026460026224 7533075032780 15066150065560 30132300131120