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10210222001000 = 235372987948817
BaseRepresentation
bin1001010010010100000010…
…1001111100101101101000
31100011002100221000101120102
42110211000221330231220
52314241013313013000
633414302232044532
72102443551022430
oct224450051745550
940132327011512
1010210222001000
11328714915992a
12118a986833748
13590a871532a8
1427426aa412c0
1512a8d09c83d5
hex94940a7cb68

10210222001000 has 128 divisors (see below), whose sum is σ = 27306524044800. Its totient is φ = 3500458675200.

The previous prime is 10210222000999. The next prime is 10210222001017. The reversal of 10210222001000 is 10022201201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209128592 + ... + 209177408.

It is an arithmetic number, because the mean of its divisors is an integer number (213332219100).

Almost surely, 210210222001000 is an apocalyptic number.

10210222001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210222001000 is an abundant number, since it is smaller than the sum of its proper divisors (17096302043800).

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

10210222001000 is a wasteful number, since it uses less digits than its factorization.

10210222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78724 (or 78710 counting only the distinct ones).

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

Adding to 10210222001000 its reverse (10022201201), we get a palindrome (10220244202201).

The spelling of 10210222001000 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 29879 48817 59758 97634 119516 149395 195268 209153 239032 244085 298790 341719 390536 418306 488170 597580 683438 746975 836612 976340 1045765 1195160 1220425 1366876 1493950 1673224 1708595 1952680 2091530 2440850 2733752 2987900 3417190 3734875 4183060 4881700 5228825 5975800 6102125 6834380 7469750 8366120 8542975 9763400 10457650 12204250 13668760 14939500 17085950 20915300 24408500 26144125 29879000 34171900 41830600 42714875 48817000 52288250 68343800 85429750 104576500 170859500 209153000 341719000 1458603143 2917206286 5834412572 7293015715 10210222001 11668825144 14586031430 20420444002 29172062860 36465078575 40840888004 51051110005 58344125720 72930157150 81681776008 102102220010 145860314300 182325392875 204204440020 255255550025 291720628600 364650785750 408408880040 510511100050 729301571500 1021022200100 1276277750125 1458603143000 2042044400200 2552555500250 5105111000500 10210222001000