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30013021321020 = 22345100519184309
BaseRepresentation
bin1101101001011111100110…
…11110010111011100111100
310221021012212001121101220000
412310233303132113130330
512413213131424233040
6143455442555154300
76215240434654233
oct664576336273474
9127235761541800
1030013021321020
1196214a6109291
123448884145990
1313992a606772a
1475a8d08a5b1a
15370a9303d130
hex1b4bf379773c

30013021321020 has 120 divisors (see below), whose sum is σ = 94153406978400. Its totient is φ = 8003349307008.

The previous prime is 30013021321001. The next prime is 30013021321037. The reversal of 30013021321020 is 2012312031003.

30013021321020 is a `hidden beast` number, since 300 + 1 + 3 + 0 + 21 + 321 + 0 + 20 = 666.

It is a super-2 number, since 2×300130213210202 (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 = 30013021320984 and 30013021321002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162748626 + ... + 162932934.

It is an arithmetic number, because the mean of its divisors is an integer number (784611724820).

Almost surely, 230013021321020 is an apocalyptic number.

30013021321020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30013021321020 is an abundant number, since it is smaller than the sum of its proper divisors (64140385657380).

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

30013021321020 is a wasteful number, since it uses less digits than its factorization.

30013021321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284849 (or 284838 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30013021321020 its reverse (2012312031003), we get a palindrome (32025333352023).

The spelling of 30013021321020 in words is "thirty trillion, thirteen billion, twenty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 100519 184309 201038 301557 368618 402076 502595 552927 603114 737236 904671 921545 1005190 1105854 1206228 1507785 1658781 1809342 1843090 2010380 2211708 2714013 2764635 3015570 3317562 3618684 3686180 4523355 4976343 5428026 5529270 6031140 6635124 8142039 8293905 9046710 9952686 10856052 11058540 13570065 14929029 16284078 16587810 18093420 19905372 24881715 27140130 29858058 32568156 33175620 40710195 49763430 54280260 59716116 74645145 81420390 99526860 149290290 162840780 298580580 18526556371 37053112742 55579669113 74106225484 92632781855 111159338226 166739007339 185265563710 222318676452 277898345565 333478014678 370531127420 500217022017 555796691130 666956029356 833695036695 1000434044034 1111593382260 1500651066051 1667390073390 2000868088068 2501085110085 3001302132102 3334780146780 5002170220170 6002604264204 7503255330255 10004340440340 15006510660510 30013021321020