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30022031032120 = 23541101324597349
BaseRepresentation
bin1101101001110000011000…
…11111101011111100111000
310221022002002221222011000201
412310320030133223330320
512413340104421011440
6143503533004411544
76216006626152441
oct664701437537470
9127262087864021
1030022031032120
1196252a9932616
12344a579546bb4
13139a0b0837c2a
1475b1072c82c8
15370e1ded719a
hex1b4e0c7ebf38

30022031032120 has 128 divisors (see below), whose sum is σ = 69303026520000. Its totient is φ = 11697997189120.

The previous prime is 30022031032099. The next prime is 30022031032129. The reversal of 30022031032120 is 2123013022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022031032129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085182206 + ... + 4085189554.

Almost surely, 230022031032120 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 30022031032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34651513260000).

30022031032120 is an abundant number, since it is smaller than the sum of its proper divisors (39280995487880).

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

30022031032120 is a wasteful number, since it uses less digits than its factorization.

30022031032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10873 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30022031032120 its reverse (2123013022003), we get a palindrome (32145044054123).

The spelling of 30022031032120 in words is "thirty trillion, twenty-two billion, thirty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1013 1640 2026 2459 4052 4918 5065 7349 8104 9836 10130 12295 14698 19672 20260 24590 29396 36745 40520 41533 49180 58792 73490 83066 98360 100819 146980 166132 201638 207665 293960 301309 332264 403276 415330 504095 602618 806552 830660 1008190 1205236 1506545 1661320 2016380 2410472 2490967 3013090 4032760 4981934 6026180 7444537 9963868 12052360 12454835 14889074 18071191 19927736 24909670 29778148 36142382 37222685 49819340 59556296 72284764 74445370 90355955 99638680 102129647 144569528 148890740 180711910 204259294 297781480 305226017 361423820 408518588 510648235 610452034 722847640 740918831 817037176 1021296470 1220904068 1481837662 1526130085 2042592940 2441808136 2963675324 3052260170 3704594155 4085185880 5927350648 6104520340 7409188310 12209040680 14818376620 18306116483 29636753240 36612232966 73224465932 91530582415 146448931864 183061164830 366122329660 732244659320 750550775803 1501101551606 3002203103212 3752753879015 6004406206424 7505507758030 15011015516060 30022031032120