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101220001010010 = 232512592281139161
BaseRepresentation
bin10111000000111100011110…
…001101000101000101011010
3111021101112111220110012222200
4113000330132031011011122
5101231342030224310020
6555135454310231030
730214621661466651
oct2700743615050532
9437345456405880
10101220001010010
112a285185852103
12b429145655476
13446300b3a01cc
141add107806198
15ba7e70375590
hex5c0f1e34515a

101220001010010 has 96 divisors (see below), whose sum is σ = 263399307312960. Its totient is φ = 26968690003200.

The previous prime is 101220001009979. The next prime is 101220001010021. The reversal of 101220001010010 is 10010100022101.

It is a happy number.

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 = 101220001009974 and 101220001010001.

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, 2584694830 + ... + 2584733990.

It is an arithmetic number, because the mean of its divisors is an integer number (2743742784510).

Almost surely, 2101220001010010 is an apocalyptic number.

101220001010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220001010010 is an abundant number, since it is smaller than the sum of its proper divisors (162179306302950).

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

101220001010010 is a wasteful number, since it uses less digits than its factorization.

101220001010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63244 (or 63241 counting only the distinct ones).

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

Adding to 101220001010010 its reverse (10010100022101), we get a palindrome (111230101032111).

The spelling of 101220001010010 in words is "one hundred one trillion, two hundred twenty billion, one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1259 2518 3777 6295 7554 11331 12590 18885 22662 22811 37770 39161 45622 56655 68433 78322 113310 114055 117483 136866 195805 205299 228110 234966 342165 352449 391610 410598 587415 684330 704898 1026495 1174830 1762245 2052990 3524490 28719049 49303699 57438098 86157147 98607398 143595245 147911097 172314294 246518495 258471441 287190490 295822194 430785735 443733291 493036990 516942882 739555485 861571470 887466582 893301571 1292357205 1479110970 1786603142 2218666455 2584714410 2679904713 4437332910 4466507855 5359809426 8039714139 8933015710 13399523565 16079428278 26799047130 40198570695 80397141390 1124666677889 2249333355778 3374000033667 5623333389445 6748000067334 10122000101001 11246666778890 16870000168335 20244000202002 33740000336670 50610000505005 101220001010010