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10220210010 = 23251915139581
BaseRepresentation
bin10011000010010110…
…00000011101011010
3222101021010110110200
421201023000131122
5131412333210020
64410050323030
7511160231433
oct114113003532
928337113420
1010220210010
11437505105a
121b92889476
13c6b4cc65a
146cd4c648a
153ec3aa590
hex2612c075a

10220210010 has 96 divisors (see below), whose sum is σ = 28157051520. Its totient is φ = 2564784000.

The previous prime is 10220209997. The next prime is 10220210053. The reversal of 10220210010 is 1001202201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10220209974 and 10220210001.

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, 238420 + ... + 278000.

It is an arithmetic number, because the mean of its divisors is an integer number (293302620).

Almost surely, 210220210010 is an apocalyptic number.

10220210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078525760).

10220210010 is an abundant number, since it is smaller than the sum of its proper divisors (17936841510).

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

10220210010 is a wasteful number, since it uses less digits than its factorization.

10220210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39764 (or 39761 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220210010 its reverse (1001202201), we get a palindrome (11221412211).

The spelling of 10220210010 in words is "ten billion, two hundred twenty million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 151 171 190 285 302 342 453 570 755 855 906 1359 1510 1710 2265 2718 2869 4530 5738 6795 8607 13590 14345 17214 25821 28690 39581 43035 51642 79162 86070 118743 129105 197905 237486 258210 356229 395810 593715 712458 752039 1187430 1504078 1781145 2256117 3562290 3760195 4512234 5976731 6768351 7520390 11280585 11953462 13536702 17930193 22561170 29883655 33841755 35860386 53790579 59767310 67683510 89650965 107581158 113557889 179301930 227115778 268952895 340673667 537905790 567789445 681347334 1022021001 1135578890 1703368335 2044042002 3406736670 5110105005 10220210010