Search a number
-
+
10112121122110 = 2571012017370901
BaseRepresentation
bin1001001100100110100101…
…1000110010110100111110
31022210201011002220101201121
42103021221120302310332
52311134111001401420
633301235545501154
72062401534223240
oct223115130626476
938721132811647
1010112121122110
113249587829607
121173968aa17ba
13584751c2a367
1426d601cda090
1512808d3762aa
hex93269632d3e

10112121122110 has 64 divisors (see below), whose sum is σ = 21009376612224. Its totient is φ = 3432467520000.

The previous prime is 10112121122069. The next prime is 10112121122137. The reversal of 10112121122110 is 1122112121101.

10112121122110 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 31 ways as a sum of consecutive naturals, for example, 142587660 + ... + 142658560.

It is an arithmetic number, because the mean of its divisors is an integer number (328271509566).

Almost surely, 210112121122110 is an apocalyptic number.

10112121122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112121122110 is an abundant number, since it is smaller than the sum of its proper divisors (10897255490114).

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

10112121122110 is a wasteful number, since it uses less digits than its factorization.

10112121122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91189.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10112121122110 its reverse (1122112121101), we get a palindrome (11234233243211).

The spelling of 10112121122110 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 1010 1414 3535 7070 20173 40346 70901 100865 141211 141802 201730 282422 354505 496307 706055 709010 992614 1412110 2037473 2481535 4074946 4963070 7161001 10187365 14262311 14322002 20374730 28524622 35805005 50127007 71311555 71610010 100254014 142623110 250635035 501270070 1430285873 2860571746 7151429365 10012001111 14302858730 20024002222 50060005555 100120011110 144458873173 288917746346 722294365865 1011212112211 1444588731730 2022424224422 5056060561055 10112121122110