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30222110322300 = 223521361311263947
BaseRepresentation
bin1101101111100101000100…
…01001100110111001111100
310222000012112211110012012110
412313302202021212321330
512430124340220303200
6144135502410134020
76236322032105241
oct667624211467174
9128005484405173
1030222110322300
1196a214142a696
1234812b7721310
1313b2c183c9370
14766a87b295c8
1537622e3beb50
hex1b7ca2266e7c

30222110322300 has 144 divisors (see below), whose sum is σ = 94184430060672. Its totient is φ = 7438069420800.

The previous prime is 30222110322181. The next prime is 30222110322301. The reversal of 30222110322300 is 322301122203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222110322301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23278927 + ... + 24542873.

It is an arithmetic number, because the mean of its divisors is an integer number (654058542088).

Almost surely, 230222110322300 is an apocalyptic number.

30222110322300 is a gapful number since it is divisible by the number (30) 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 30222110322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47092215030336).

30222110322300 is an abundant number, since it is smaller than the sum of its proper divisors (63962319738372).

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

30222110322300 is a wasteful number, since it uses less digits than its factorization.

30222110322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270108 (or 1270101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30222110322300 its reverse (322301122203), we get a palindrome (30544411444503).

The spelling of 30222110322300 in words is "thirty trillion, two hundred twenty-two billion, one hundred ten million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 6131 12262 18393 24524 30655 36786 61310 73572 79703 91965 122620 153275 159406 183930 239109 306550 318812 367860 398515 459825 478218 613100 797030 919650 956436 1195545 1263947 1594060 1839300 1992575 2391090 2527894 3791841 3985150 4782180 5055788 5977725 6319735 7583682 7970300 11955450 12639470 15167364 16431311 18959205 23910900 25278940 31598675 32862622 37918410 49293933 63197350 65725244 75836820 82156555 94796025 98587866 126394700 164313110 189592050 197175732 246469665 328626220 379184100 410782775 492939330 821565550 985878660 1232348325 1643131100 2464696650 4929393300 7749259057 15498518114 23247777171 30997036228 38746295285 46495554342 77492590570 92991108684 100740367741 116238885855 154985181140 193731476425 201480735482 232477771710 302221103223 387462952850 402961470964 464955543420 503701838705 581194429275 604442206446 774925905700 1007403677410 1162388858550 1208884412892 1511105516115 2014807354820 2324777717100 2518509193525 3022211032230 5037018387050 6044422064460 7555527580575 10074036774100 15111055161150 30222110322300