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10112122101110 = 25171923347928051
BaseRepresentation
bin1001001100100110100101…
…1100100001110101110110
31022210201011011202010122212
42103021221130201311312
52311134111224213420
633301240022453422
72062401545441411
oct223115134416566
938721134663585
1010112122101110
1132495883380a7
121173969294272
135847521b0b53
1426d6020b2b78
1512808d4bb3c5
hex93269721d76

10112122101110 has 128 divisors (see below), whose sum is σ = 20417188147200. Its totient is φ = 3583448985600.

The previous prime is 10112122101101. The next prime is 10112122101143. The reversal of 10112122101110 is 1110122121101.

10112122101110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 360476585 + ... + 360504635.

It is an arithmetic number, because the mean of its divisors is an integer number (159509282400).

Almost surely, 210112122101110 is an apocalyptic number.

10112122101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112122101110 is an abundant number, since it is smaller than the sum of its proper divisors (10305066046090).

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

10112122101110 is a wasteful number, since it uses less digits than its factorization.

10112122101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28806.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112122101110 its reverse (1110122121101), we get a palindrome (11222244222211).

The spelling of 10112122101110 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 233 323 466 479 646 958 1165 1615 2330 2395 3230 3961 4427 4790 7922 8143 8854 9101 16286 18202 19805 22135 28051 39610 40715 44270 45505 56102 75259 81430 91010 111607 140255 150518 154717 223214 280510 309434 376295 476867 532969 558035 752590 773585 953734 1065938 1116070 1547170 1897319 2120533 2384335 2664845 3794638 4241066 4768670 5329690 6535883 9060473 9486595 10602665 13071766 13436429 18120946 18973190 21205330 26872858 32679415 36049061 45302365 65358830 67182145 72098122 90604730 111110011 124181777 134364290 180245305 222220022 228419293 248363554 255292151 360490610 456838586 510584302 555550055 620908885 1111100110 1142096465 1241817770 1276460755 2111090209 2284192930 2552921510 3130687957 4222180418 4339966567 6261375914 8679933134 10555451045 15653439785 21110902090 21699832835 31306879570 43399665670 53221695269 59483071183 106443390538 118966142366 266108476345 297415355915 532216952690 594830711830 1011212210111 2022424420222 5056061050555 10112122101110