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10222210100000 = 2555671525703
BaseRepresentation
bin1001010011000000101100…
…1100111010101100100000
31100012020022101201220211002
42110300023030322230200
52314440041241200000
633424003554411132
72103346616131403
oct224601314725440
940166271656732
1010222210100000
113291240122068
121191171590aa8
13591c479abbb2
14274a86c41d3a
1512ad831978d5
hex94c0b33ab20

10222210100000 has 144 divisors (see below), whose sum is σ = 25530068846016. Its totient is φ = 4027853280000.

The previous prime is 10222210099999. The next prime is 10222210100071. The reversal of 10222210100000 is 101222201.

It is a happy 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, 5937149 + ... + 7462851.

It is an arithmetic number, because the mean of its divisors is an integer number (177292144764).

Almost surely, 210222210100000 is an apocalyptic number.

10222210100000 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 10222210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765034423008).

10222210100000 is an abundant number, since it is smaller than the sum of its proper divisors (15307858746016).

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

10222210100000 is an frugal number, since it uses more digits than its factorization.

10222210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525805 (or 1525777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222210100000 its reverse (101222201), we get a palindrome (10222311322201).

The spelling of 10222210100000 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3125 3350 4000 5000 5360 6250 6700 8375 10000 10720 12500 13400 16750 20000 25000 26800 33500 41875 50000 53600 67000 83750 100000 134000 167500 209375 268000 335000 418750 670000 837500 1340000 1525703 1675000 3051406 3350000 6102812 6700000 7628515 12205624 15257030 24411248 30514060 38142575 48822496 61028120 76285150 102222101 122056240 152570300 190712875 204444202 244112480 305140600 381425750 408888404 511110505 610281200 762851500 817776808 953564375 1022221010 1220562400 1525703000 1635553616 1907128750 2044442020 2555552525 3051406000 3271107232 3814257500 4088884040 4767821875 5111105050 6102812000 7628515000 8177768080 9535643750 10222210100 12777762625 15257030000 16355536160 19071287500 20444420200 25555525250 30514060000 38142575000 40888840400 51111050500 63888813125 76285150000 81777680800 102222101000 127777626250 152570300000 204444202000 255555252500 319444065625 408888404000 511110505000 638888131250 1022221010000 1277776262500 2044442020000 2555552525000 5111105050000 10222210100000