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1010101111100 = 2252101107934673
BaseRepresentation
bin11101011001011101011…
…01111100100100111100
310120120020200110000221222
432230232231330210330
5113022141341023400
62052011204212512
7132656150531354
oct16545655744474
93516220400858
101010101111100
1135a4218201a4
1214392099a138
1374337bc8463
1436c63ba9b64
151b41d448185
hexeb2eb7c93c

1010101111100 has 72 divisors (see below), whose sum is σ = 2234312026128. Its totient is φ = 396300928000.

The previous prime is 1010101111051. The next prime is 1010101111183. The reversal of 1010101111100 is 11111010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613364 + ... + 1548036.

It is an arithmetic number, because the mean of its divisors is an integer number (31032111474).

Almost surely, 21010101111100 is an apocalyptic number.

1010101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117156013064).

1010101111100 is an abundant number, since it is smaller than the sum of its proper divisors (1224210915028).

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

1010101111100 is a wasteful number, since it uses less digits than its factorization.

1010101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934895 (or 934888 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1010101111100 its reverse (11111010101), we get a palindrome (1021212121201).

The spelling of 1010101111100 in words is "one trillion, ten billion, one hundred one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 107 202 214 404 428 505 535 1010 1070 2020 2140 2525 2675 5050 5350 10100 10700 10807 21614 43228 54035 108070 216140 270175 540350 934673 1080700 1869346 3738692 4673365 9346730 18693460 23366825 46733650 93467300 94401973 100010011 188803946 200020022 377607892 400040044 472009865 500050055 944019730 1000100110 1888039460 2000200220 2360049325 2500250275 4720098650 5000500550 9440197300 10001001100 10101011111 20202022222 40404044444 50505055555 101010111110 202020222220 252525277775 505050555550 1010101111100