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152140104200 = 23527130383401
BaseRepresentation
bin1000110110110001000…
…0011100001000001000
3112112200220110001221002
42031230100130020020
54443040331313300
6153520414234132
713664113356050
oct2155420341010
9475626401832
10152140104200
1159582139107
122559b4b5948
1311467a6c3c6
147513aba560
153e569195d5
hex236c41c208

152140104200 has 96 divisors (see below), whose sum is σ = 404573093760. Its totient is φ = 52121664000.

The previous prime is 152140104173. The next prime is 152140104217. The reversal of 152140104200 is 2401041251.

It is a happy number.

152140104200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1521401042002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782500 + ... + 1865900.

It is an arithmetic number, because the mean of its divisors is an integer number (4214303060).

Almost surely, 2152140104200 is an apocalyptic number.

152140104200 is a gapful number since it is divisible by the number (10) 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 152140104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202286546880).

152140104200 is an abundant number, since it is smaller than the sum of its proper divisors (252432989560).

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

152140104200 is a wasteful number, since it uses less digits than its factorization.

152140104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84727 (or 84718 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 152140104200 its reverse (2401041251), we get a palindrome (154541145451).

The spelling of 152140104200 in words is "one hundred fifty-two billion, one hundred forty million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1303 1400 2606 5212 6515 9121 10424 13030 18242 26060 32575 36484 45605 52120 65150 72968 83401 91210 130300 166802 182420 228025 260600 333604 364840 417005 456050 583807 667208 834010 912100 1167614 1668020 1824200 2085025 2335228 2919035 3336040 4170050 4670456 5838070 8340100 11676140 14595175 16680200 23352280 29190350 58380700 108671503 116761400 217343006 434686012 543357515 760700521 869372024 1086715030 1521401042 2173430060 2716787575 3042802084 3803502605 4346860120 5433575150 6085604168 7607005210 10867150300 15214010420 19017513025 21734300600 30428020840 38035026050 76070052100 152140104200