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30202112221020 = 22325975633072449
BaseRepresentation
bin1101101110111111110100…
…01010111001111101011100
310221221021221010111101111200
412313133322022321331130
512424312411212033040
6144122354145315500
76235013332050045
oct667377212717534
9127837833441450
1030202112221020
119694709a88163
123479456335b90
1313b107c237a3c
14765b0bbb98cc
1537595d8cb630
hex1b77fa2b9f5c

30202112221020 has 144 divisors (see below), whose sum is σ = 92721969194400. Its totient is φ = 7956706295808.

The previous prime is 30202112220989. The next prime is 30202112221091. The reversal of 30202112221020 is 2012221120203.

It is a super-2 number, since 2×302021122210202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30202112220984 and 30202112221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8293756 + ... + 11366204.

It is an arithmetic number, because the mean of its divisors is an integer number (643902563850).

Almost surely, 230202112221020 is an apocalyptic number.

30202112221020 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 30202112221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360984597200).

30202112221020 is an abundant number, since it is smaller than the sum of its proper divisors (62519856973380).

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

30202112221020 is a wasteful number, since it uses less digits than its factorization.

30202112221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073124 (or 3073119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30202112221020 its reverse (2012221120203), we get a palindrome (32214333341223).

The spelling of 30202112221020 in words is "thirty trillion, two hundred two billion, one hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 563 582 873 970 1126 1164 1455 1689 1746 1940 2252 2815 2910 3378 3492 4365 5067 5630 5820 6756 8445 8730 10134 11260 16890 17460 20268 25335 33780 50670 54611 101340 109222 163833 218444 273055 327666 491499 546110 655332 819165 982998 1092220 1638330 1965996 2457495 3072449 3276660 4914990 6144898 9217347 9829980 12289796 15362245 18434694 27652041 30724490 36869388 46086735 55304082 61448980 92173470 110608164 138260205 184346940 276520410 298027553 553040820 596055106 894082659 1192110212 1490137765 1729788787 1788165318 2682247977 2980275530 3459577574 3576330636 4470413295 5189366361 5364495954 5960551060 6919155148 8648943935 8940826590 10378732722 10728991908 13411239885 15568099083 17297887870 17881653180 20757465444 25946831805 26822479770 31136198166 34595775740 51893663610 53644959540 62272396332 77840495415 103787327220 155680990830 167789512339 311361981660 335579024678 503368537017 671158049356 838947561695 1006737074034 1510105611051 1677895123390 2013474148068 2516842685085 3020211222102 3355790246780 5033685370170 6040422444204 7550528055255 10067370740340 15101056110510 30202112221020