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30232021120 = 275744315233
BaseRepresentation
bin11100001001111110…
…000000100010000000
32220000220212210111221
4130021332000202000
5443403344133440
621515521044424
72120114640160
oct341176004200
986026783457
1030232021120
1111904207a24
125a38786714
132b0a4812c2
14166b1a45a0
15bbe1aad4a
hex709f80880

30232021120 has 128 divisors (see below), whose sum is σ = 82790087040. Its totient is φ = 10341187584.

The previous prime is 30232021109. The next prime is 30232021139. The reversal of 30232021120 is 2112023203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30232021094 and 30232021103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977024 + ... + 1992256.

It is an arithmetic number, because the mean of its divisors is an integer number (646797555).

Almost surely, 230232021120 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 30232021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395043520).

30232021120 is an abundant number, since it is smaller than the sum of its proper divisors (52558065920).

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

30232021120 is a wasteful number, since it uses less digits than its factorization.

30232021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702 (or 15690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30232021120 its reverse (2112023203), we get a palindrome (32344044323).

The spelling of 30232021120 in words is "thirty billion, two hundred thirty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 443 448 560 640 886 896 1120 1772 2215 2240 3101 3544 4430 4480 6202 7088 8860 12404 14176 15233 15505 17720 24808 28352 30466 31010 35440 49616 56704 60932 62020 70880 76165 99232 106631 121864 124040 141760 152330 198464 213262 243728 248080 283520 304660 396928 426524 487456 496160 533155 609320 853048 974912 992320 1066310 1218640 1706096 1949824 1984640 2132620 2437280 3412192 4265240 4874560 6748219 6824384 8530480 9749120 13496438 13648768 17060960 26992876 33741095 34121920 47237533 53985752 67482190 68243840 94475066 107971504 134964380 188950132 215943008 236187665 269928760 377900264 431886016 472375330 539857520 755800528 863772032 944750660 1079715040 1511601056 1889501320 2159430080 3023202112 3779002640 4318860160 6046404224 7558005280 15116010560 30232021120