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30022331311200 = 2535241305104993
BaseRepresentation
bin1101101001110000111100…
…11001001010010001100000
310221022002212212222220111010
412310320132121022101200
512413341213303424300
6143504022452420520
76216020233403604
oct664703631122140
9127262785886433
1030022331311200
119625443387748
12344a642017740
13139a12ab02a67
1475b135131504
15370e3a54da50
hex1b4e1e64a460

30022331311200 has 144 divisors (see below), whose sum is σ = 100106168951376. Its totient is φ = 7810687795200.

The previous prime is 30022331311169. The next prime is 30022331311223. The reversal of 30022331311200 is 211313322003.

It is a super-2 number, since 2×300223313112002 (a number of 28 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 23 ways as a sum of consecutive naturals, for example, 152454097 + ... + 152650896.

It is an arithmetic number, because the mean of its divisors is an integer number (695181728829).

Almost surely, 230022331311200 is an apocalyptic number.

30022331311200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30022331311200 is an abundant number, since it is smaller than the sum of its proper divisors (70083837640176).

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

30022331311200 is a wasteful number, since it uses less digits than its factorization.

30022331311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305105057 (or 305105044 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30022331311200 its reverse (211313322003), we get a palindrome (30233644633203).

The spelling of 30022331311200 in words is "thirty trillion, twenty-two billion, three hundred thirty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1640 1968 2050 2400 2460 3075 3280 3936 4100 4920 6150 6560 8200 9840 12300 16400 19680 24600 32800 49200 98400 305104993 610209986 915314979 1220419972 1525524965 1830629958 2440839944 3051049930 3661259916 4576574895 4881679888 6102099860 7322519832 7627624825 9153149790 9763359776 12204199720 12509304713 14645039664 15255249650 18306299580 22882874475 24408399440 25018609426 29290079328 30510499300 36612599160 37527914139 45765748950 48816798880 50037218852 61020998600 62546523565 73225198320 75055828278 91531497900 100074437704 122041997200 125093047130 146450396640 150111656556 183062995800 187639570695 200148875408 244083994400 250186094260 300223313112 312732617825 366125991600 375279141390 400297750816 500372188520 600446626224 625465235650 732251983200 750558282780 938197853475 1000744377040 1200893252448 1250930471300 1501116565560 1876395706950 2001488754080 2501860942600 3002233131120 3752791413900 5003721885200 6004466262240 7505582827800 10007443770400 15011165655600 30022331311200