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10220211220110 = 23519233499222799
BaseRepresentation
bin1001010010111001010000…
…0011110010111010001110
31100012001011002111022002120
42110232110003302322032
52314421443033020420
633423033351433410
72103246235003263
oct224562403627216
940161132438076
1010220211220110
113290404880011
1211908b4085866
135919b9837628
1427493759926a
1512acb7956d40
hex94b940f2e8e

10220211220110 has 128 divisors (see below), whose sum is σ = 26949888000000. Its totient is φ = 2468972575872.

The previous prime is 10220211220097. The next prime is 10220211220123. The reversal of 10220211220110 is 1102211202201.

It is an interprime number because it is at equal distance from previous prime (10220211220097) and next prime (10220211220123).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220211220110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45760491 + ... + 45983289.

It is an arithmetic number, because the mean of its divisors is an integer number (210546000000).

Almost surely, 210220211220110 is an apocalyptic number.

10220211220110 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 10220211220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474944000000).

10220211220110 is an abundant number, since it is smaller than the sum of its proper divisors (16729676779890).

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

10220211220110 is a wasteful number, since it uses less digits than its factorization.

10220211220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226350.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10220211220110 its reverse (1102211202201), we get a palindrome (11322422422311).

The spelling of 10220211220110 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 690 874 1311 2185 2622 3499 4370 6555 6998 10497 13110 17495 20994 34990 52485 66481 80477 104970 132962 160954 199443 222799 241431 332405 398886 402385 445598 482862 664810 668397 804770 997215 1113995 1207155 1336794 1529063 1994430 2227990 2414310 3058126 3341985 4233181 4587189 5124377 6683970 7645315 8466362 9174378 10248754 12699543 15290630 15373131 21165905 22935945 25399086 25621885 30746262 42331810 45871890 51243770 63497715 76865655 97363163 126995430 153731310 194726326 292089489 486815815 584178978 779573701 973631630 1460447445 1559147402 2338721103 2920894890 3897868505 4677442206 7795737010 11693605515 14811900319 17930195123 23387211030 29623800638 35860390246 44435700957 53790585369 74059501595 88871401914 89650975615 107581170738 148119003190 179301951230 222178504785 268952926845 340673707337 444357009570 537905853690 681347414674 1022021122011 1703368536685 2044042244022 3406737073370 5110105610055 10220211220110