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30201222203320 = 23571395521140551
BaseRepresentation
bin1101101110111110001010…
…00111110000011110111000
310221221012122002202210202011
412313133011013300132320
512424304100341001240
6144122125553215304
76234652304035210
oct667370507603670
9127835562683664
1030201222203320
1196942a2653743
123479248261534
1313b0c69a27b4c
14765a658db240
1537590a6c26ea
hex1b77c51f07b8

30201222203320 has 128 divisors (see below), whose sum is σ = 78233716915200. Its totient is φ = 10278275328000.

The previous prime is 30201222203287. The next prime is 30201222203359. The reversal of 30201222203320 is 2330222210203.

It is a super-2 number, since 2×302012222033202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30201222203291 and 30201222203300.

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, 214807045 + ... + 214947595.

It is an arithmetic number, because the mean of its divisors is an integer number (611200913400).

Almost surely, 230201222203320 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 30201222203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39116858457600).

30201222203320 is an abundant number, since it is smaller than the sum of its proper divisors (48032494711880).

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

30201222203320 is a wasteful number, since it uses less digits than its factorization.

30201222203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146229 (or 146225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30201222203320 its reverse (2330222210203), we get a palindrome (32531444413523).

The spelling of 30201222203320 in words is "thirty trillion, two hundred one billion, two hundred twenty-two million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 556 695 973 1112 1390 1946 2780 3892 4865 5521 5560 7784 9730 11042 19460 22084 27605 38647 38920 44168 55210 77294 110420 140551 154588 193235 220840 281102 309176 386470 562204 702755 767419 772940 983857 1124408 1405510 1534838 1545880 1967714 2811020 3069676 3837095 3935428 4919285 5371933 5622040 6139352 7674190 7870856 9838570 10743866 15348380 19536589 19677140 21487732 26859665 30696760 39073178 39354280 42975464 53719330 78146356 97682945 107438660 136756123 156292712 195365890 214877320 273512246 390731780 547024492 683780615 775982071 781463560 1094048984 1367561230 1551964142 2735122460 3103928284 3879910355 5431874497 5470244920 6207856568 7759820710 10863748994 15519641420 21727497988 27159372485 31039282840 43454995976 54318744970 107861507869 108637489940 215723015738 217274979880 431446031476 539307539345 755030555083 862892062952 1078615078690 1510061110166 2157230157380 3020122220332 3775152775415 4314460314760 6040244440664 7550305550830 15100611101660 30201222203320