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23002121040 = 2435178753633
BaseRepresentation
bin10101011011000010…
…001000001101010000
32012101001112211002220
4111123002020031100
5334102020333130
614322251141040
71443004542243
oct253302101520
965331484086
1023002121040
119834108a98
12455b444780
132227652712
141182cc125a
158e95cd410
hex55b088350

23002121040 has 80 divisors (see below), whose sum is σ = 71347808448. Its totient is φ = 6130352128.

The previous prime is 23002121033. The next prime is 23002121047. The reversal of 23002121040 is 4012120032.

It is an interprime number because it is at equal distance from previous prime (23002121033) and next prime (23002121047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002121047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 402064 + ... + 455696.

Almost surely, 223002121040 is an apocalyptic number.

23002121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23002121040 is an abundant number, since it is smaller than the sum of its proper divisors (48345687408).

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

23002121040 is a wasteful number, since it uses less digits than its factorization.

23002121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55436 (or 55430 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23002121040 its reverse (4012120032), we get a palindrome (27014241072).

The spelling of 23002121040 in words is "twenty-three billion, two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1787 3574 5361 7148 8935 10722 14296 17870 21444 26805 28592 35740 42888 53610 53633 71480 85776 107220 107266 142960 160899 214440 214532 268165 321798 428880 429064 536330 643596 804495 858128 1072660 1287192 1608990 2145320 2574384 3217980 4290640 6435960 12871920 95842171 191684342 287526513 383368684 479210855 575053026 766737368 958421710 1150106052 1437632565 1533474736 1916843420 2300212104 2875265130 3833686840 4600424208 5750530260 7667373680 11501060520 23002121040