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10100220011010 = 234522135634617
BaseRepresentation
bin1001001011111010010000…
…0001101010001000000010
31022202120102200212022110000
42102332210001222020002
52310440222310323020
633251551011420430
72061500603363313
oct222764401521002
938676380768400
1010100220011010
11324452a97a6a8
1211715a72b4716
135835a640a69c
1426cbd34a060a
15127ae363b090
hex92fa406a202

10100220011010 has 80 divisors (see below), whose sum is σ = 27170646380856. Its totient is φ = 2692174447872.

The previous prime is 10100220010981. The next prime is 10100220011069. The reversal of 10100220011010 is 1011002200101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9693128797641 + 407091213369 = 3113379^2 + 638037^2 .

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 = 10100220010983 and 10100220011001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1024779 + ... + 4609838.

Almost surely, 210100220011010 is an apocalyptic number.

10100220011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100220011010 is an abundant number, since it is smaller than the sum of its proper divisors (17070426369846).

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

10100220011010 is a wasteful number, since it uses less digits than its factorization.

10100220011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636849 (or 5636840 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100220011010 its reverse (1011002200101), we get a palindrome (11111222211111).

The spelling of 10100220011010 in words is "ten trillion, one hundred billion, two hundred twenty million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2213 4426 6639 11065 13278 19917 22130 33195 39834 59751 66390 99585 119502 179253 199170 298755 358506 597510 896265 1792530 5634617 11269234 16903851 28173085 33807702 50711553 56346170 84519255 101423106 152134659 169038510 253557765 304269318 456403977 507115530 760673295 912807954 1521346590 2282019885 4564039770 12469407421 24938814842 37408222263 62347037105 74816444526 112224666789 124694074210 187041111315 224449333578 336674000367 374082222630 561123333945 673348000734 1010022001101 1122246667890 1683370001835 2020044002202 3366740003670 5050110005505 10100220011010