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22313143100 = 22525313213187
BaseRepresentation
bin10100110001111101…
…111000101100111100
32010121001010010001102
4110301331320230330
5331144131034400
614130040032232
71416640405223
oct246175705474
963531103042
1022313143100
119510207736
1243a8762678
1321479a2171
1411195b5cba
158a8d869d5
hex531f78b3c

22313143100 has 72 divisors (see below), whose sum is σ = 49385932848. Its totient is φ = 8747481600.

The previous prime is 22313143087. The next prime is 22313143117. The reversal of 22313143100 is 134131322.

It is a super-3 number, since 3×223131431003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6999707 + ... + 7002893.

It is an arithmetic number, because the mean of its divisors is an integer number (685915734).

Almost surely, 222313143100 is an apocalyptic number.

22313143100 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 22313143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692966424).

22313143100 is an abundant number, since it is smaller than the sum of its proper divisors (27072789748).

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

22313143100 is a wasteful number, since it uses less digits than its factorization.

22313143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22313143100 its reverse (134131322), we get a palindrome (22447274422).

The spelling of 22313143100 in words is "twenty-two billion, three hundred thirteen million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1321 1325 2642 2650 3187 5284 5300 6374 6605 12748 13210 15935 26420 31870 33025 63740 66050 70013 79675 132100 140026 159350 168911 280052 318700 337822 350065 675644 700130 844555 1400260 1689110 1750325 3378220 3500650 4210027 4222775 7001300 8420054 8445550 16840108 16891100 21050135 42100270 84200540 105250675 210501350 223131431 421002700 446262862 892525724 1115657155 2231314310 4462628620 5578285775 11156571550 22313143100