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23100142100 = 2252741859937
BaseRepresentation
bin10101100000111000…
…000011001000010100
32012121212222210201112
4111200320003020110
5334302114021400
614340112114152
71445304653030
oct254070031024
965555883645
1023100142100
119884478732
124588235958
132241a52549
141191d191c0
15902ee1835
hex560e03214

23100142100 has 144 divisors (see below), whose sum is σ = 58816652160. Its totient is φ = 7709644800.

The previous prime is 23100142057. The next prime is 23100142111. The reversal of 23100142100 is 124100132.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24652832 + ... + 24653768.

Almost surely, 223100142100 is an apocalyptic number.

23100142100 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 23100142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408326080).

23100142100 is an abundant number, since it is smaller than the sum of its proper divisors (35716510060).

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

23100142100 is a wasteful number, since it uses less digits than its factorization.

23100142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 23100142100 its reverse (124100132), we get a palindrome (23224242232).

The spelling of 23100142100 in words is "twenty-three billion, one hundred million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 859 937 1025 1148 1435 1718 1874 2050 2870 3436 3748 4100 4295 4685 5740 6013 6559 7175 8590 9370 12026 13118 14350 17180 18740 21475 23425 24052 26236 28700 30065 32795 35219 38417 42950 46850 60130 65590 70438 76834 85900 93700 120260 131180 140876 150325 153668 163975 176095 192085 246533 268919 300650 327950 352190 384170 493066 537838 601300 655900 704380 768340 804883 880475 960425 986132 1075676 1232665 1344595 1609766 1760950 1920850 2465330 2689190 3219532 3521900 3841700 4024415 4930660 5378380 5634181 6163325 6722975 8048830 11268362 12326650 13445950 16097660 20122075 22536724 24653300 26891900 28170905 33000203 40244150 56341810 66000406 80488300 112683620 132000812 140854525 165001015 231001421 281709050 330002030 462002842 563418100 660004060 825005075 924005684 1155007105 1650010150 2310014210 3300020300 4620028420 5775035525 11550071050 23100142100