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1022100000 = 253553407
BaseRepresentation
bin111100111011000…
…000001000100000
32122020021001121120
4330323000020200
54043124200000
6245231052240
734220464245
oct7473001040
92566231546
101022100000
11484a48949
12246371080
131339a73cc
1499a615cc
155eae96a0
hex3cec0220

1022100000 has 144 divisors (see below), whose sum is σ = 3354535296. Its totient is φ = 272480000.

The previous prime is 1022099999. The next prime is 1022100007. The reversal of 1022100000 is 12201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1022100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298297 + ... + 301703.

It is an arithmetic number, because the mean of its divisors is an integer number (23295384).

Almost surely, 21022100000 is an apocalyptic number.

1022100000 is a gapful number since it is divisible by the number (10) 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 1022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677267648).

1022100000 is an abundant number, since it is smaller than the sum of its proper divisors (2332435296).

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

1022100000 is an frugal number, since it uses more digits than its factorization.

1022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1022100000 is about 31970.2987161522. The cubic root of 1022100000 is about 1007.3130555164.

Adding to 1022100000 its reverse (12201), we get a palindrome (1022112201).

The spelling of 1022100000 in words is "one billion, twenty-two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3407 3750 4000 5000 6000 6250 6814 7500 9375 10000 10221 12000 12500 13628 15000 17035 18750 20000 20442 25000 27256 30000 34070 37500 40884 50000 51105 54512 60000 68140 75000 81768 85175 100000 102210 109024 136280 150000 163536 170350 204420 255525 272560 300000 327072 340700 408840 425875 511050 545120 681400 817680 851750 1022100 1277625 1362800 1635360 1703500 2044200 2129375 2555250 2725600 3407000 4088400 4258750 5110500 6388125 6814000 8176800 8517500 10221000 10646875 12776250 13628000 17035000 20442000 21293750 25552500 31940625 34070000 40884000 42587500 51105000 63881250 68140000 85175000 102210000 127762500 170350000 204420000 255525000 340700000 511050000 1022100000