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20123101332 = 22326783100517
BaseRepresentation
bin10010101111011011…
…100010100010010100
31220221102011110112100
4102233123202202110
5312203003220312
613124443522100
71311445352625
oct225733424224
956842143470
1020123101332
118596a69964
123a97229330
131b89049369
14d8c7aba4c
157cb9855dc
hex4af6e2894

20123101332 has 72 divisors (see below), whose sum is σ = 52248452256. Its totient is φ = 6527911104.

The previous prime is 20123101291. The next prime is 20123101337. The reversal of 20123101332 is 23310132102.

20123101332 is a `hidden beast` number, since 20 + 1 + 2 + 310 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123101337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149938 + ... + 250454.

It is an arithmetic number, because the mean of its divisors is an integer number (725672948).

Almost surely, 220123101332 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 20123101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124226128).

20123101332 is an abundant number, since it is smaller than the sum of its proper divisors (32125350924).

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

20123101332 is a wasteful number, since it uses less digits than its factorization.

20123101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100677 (or 100672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20123101332 its reverse (23310132102), we get a palindrome (43433233434).

The spelling of 20123101332 in words is "twenty billion, one hundred twenty-three million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 83 134 166 201 249 268 332 402 498 603 747 804 996 1206 1494 2412 2988 5561 11122 16683 22244 33366 50049 66732 100098 100517 200196 201034 301551 402068 603102 904653 1206204 1809306 3618612 6734639 8342911 13469278 16685822 20203917 25028733 26938556 33371644 40407834 50057466 60611751 75086199 80815668 100114932 121223502 150172398 242447004 300344796 558975037 1117950074 1676925111 2235900148 3353850222 5030775333 6707700444 10061550666 20123101332