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10010111000110 = 25131753751113797
BaseRepresentation
bin1001000110101010100100…
…0111000011111000101110
31022102221211211212021110221
42101222221013003320232
52303001201404000420
633142325334521554
72052130611414604
oct221525107037056
938387754767427
1010010111000110
11320a29a773061
121158039b062ba
13577c45b3b320
142686c5d07874
151255bc929caa
hex91aa91c3e2e

10010111000110 has 128 divisors (see below), whose sum is σ = 20961351258624. Its totient is φ = 3408417792000.

The previous prime is 10010111000083. The next prime is 10010111000119. The reversal of 10010111000110 is 1100011101001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10010111000093 and 10010111000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111000119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87907732 + ... + 88021528.

It is an arithmetic number, because the mean of its divisors is an integer number (163760556708).

Almost surely, 210010111000110 is an apocalyptic number.

10010111000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010111000110 is an abundant number, since it is smaller than the sum of its proper divisors (10951240258514).

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

10010111000110 is a wasteful number, since it uses less digits than its factorization.

10010111000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114638.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010111000110 its reverse (1100011101001), we get a palindrome (11110122101111).

The spelling of 10010111000110 in words is "ten trillion, ten billion, one hundred eleven million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 17 26 34 53 65 85 106 130 170 221 265 442 530 689 751 901 1105 1378 1502 1802 2210 3445 3755 4505 6890 7510 9010 9763 11713 12767 19526 23426 25534 39803 48815 58565 63835 79606 97630 113797 117130 127670 165971 199015 227594 331942 398030 517439 568985 676651 829855 1034878 1137970 1353302 1479361 1659710 1934549 2587195 2958722 3383255 3869098 5174390 6031241 6766510 7396805 8796463 9672745 12062482 14793610 17592926 19345490 25149137 30156205 43982315 50298274 60312410 78406133 85461547 87964630 102531097 125745685 156812266 170923094 205062194 251491370 392030665 427307735 512655485 784061330 854615470 1025310970 1111000111 1332904261 1452846299 2222000222 2665808522 2905692598 4529461991 5555000555 6664521305 7264231495 9058923982 11110001110 13329042610 14528462990 18887001887 22647309955 37774003774 45294619910 58883005883 77000853847 94435009435 117766011766 154001707694 188870018870 294415029415 385004269235 588830058830 770008538470 1001011100011 2002022200022 5005055500055 10010111000110