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20113222132300 = 22521122266973327
BaseRepresentation
bin1001001001010111110010…
…11101011110001001001100
32122012210202000212202121011
410210223321131132021030
510114013334331213200
6110435515305215004
74144063252202023
oct444537135361114
978183660782534
1020113222132300
116454a735a7900
12230a0b1491464
13b2b8901cb2ab
144d76b134b8ba
1524d2cec9e5ba
hex124af975e24c

20113222132300 has 108 divisors (see below), whose sum is σ = 47976960979360. Its totient is φ = 7313476579200.

The previous prime is 20113222132249. The next prime is 20113222132307. The reversal of 20113222132300 is 323122231102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20113222132307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274258237 + ... + 274331563.

Almost surely, 220113222132300 is an apocalyptic number.

20113222132300 is a gapful number since it is divisible by the number (20) 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 20113222132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23988480489680).

20113222132300 is an abundant number, since it is smaller than the sum of its proper divisors (27863738847060).

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

20113222132300 is a wasteful number, since it uses less digits than its factorization.

20113222132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96032 (or 96014 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20113222132300 its reverse (323122231102), we get a palindrome (20436344363402).

The spelling of 20113222132300 in words is "twenty trillion, one hundred thirteen billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 22669 45338 73327 90676 113345 146654 226690 249359 293308 366635 453380 498718 566725 733270 806597 997436 1133450 1246795 1466540 1613194 1833175 2266900 2493590 2742949 3226388 3666350 4032985 4987180 5485898 6233975 7332700 8065970 8872567 10971796 12467950 13714745 16131940 17745134 20164925 24935900 27429490 35490268 40329850 44362835 54858980 68573725 80659700 88725670 137147450 177451340 221814175 274294900 443628350 887256700 1662249763 3324499526 6648999052 8311248815 16622497630 18284747393 33244995260 36569494786 41556244075 73138989572 83112488150 91423736965 166224976300 182847473930 201132221323 365694947860 402264442646 457118684825 804528885292 914237369650 1005661106615 1828474739300 2011322213230 4022644426460 5028305533075 10056611066150 20113222132300