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121023002300 = 225219161939343
BaseRepresentation
bin111000010110110001…
…0000111011010111100
3102120101022010111211112
41300231202013122330
53440323342033200
6131332554541152
711513030355254
oct1605542073274
9376338114745
10121023002300
1147364369972
121b5564377b8
13b549119385
145c01160964
153234bcc535
hex1c2d8876bc

121023002300 has 72 divisors (see below), whose sum is σ = 276619795200. Its totient is φ = 45831856320.

The previous prime is 121023002279. The next prime is 121023002311. The reversal of 121023002300 is 3200320121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3056429 + ... + 3095771.

It is an arithmetic number, because the mean of its divisors is an integer number (3841941600).

Almost surely, 2121023002300 is an apocalyptic number.

121023002300 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 121023002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309897600).

121023002300 is an abundant number, since it is smaller than the sum of its proper divisors (155596792900).

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

121023002300 is a wasteful number, since it uses less digits than its factorization.

121023002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40995 (or 40988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121023002300 its reverse (3200320121), we get a palindrome (124223322421).

The spelling of 121023002300 in words is "one hundred twenty-one billion, twenty-three million, two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1619 1900 3238 6476 8095 16190 30761 32380 39343 40475 61522 78686 80950 123044 153805 157372 161900 196715 307610 393430 615220 747517 769025 786860 983575 1495034 1538050 1967150 2990068 3076100 3737585 3934300 7475170 14950340 18687925 37375850 63696317 74751700 127392634 254785268 318481585 636963170 1210230023 1273926340 1592407925 2420460046 3184815850 4840920092 6051150115 6369631700 12102300230 24204600460 30255750575 60511501150 121023002300