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1010020100110 = 257149199587829
BaseRepresentation
bin11101011001010011110…
…00111010100000001110
310120120001001000020202221
432230221320322200032
5113022010121200420
62051555152005554
7132654145124620
oct16545170724016
93516031006687
101010020100110
1135a39001946a
121438b98308ba
13743241a2b68
1436c5711cc10
151b416294caa
hexeb29e3a80e

1010020100110 has 128 divisors (see below), whose sum is σ = 2108332800000. Its totient is φ = 341244845568.

The previous prime is 1010020100059. The next prime is 1010020100119. The reversal of 1010020100110 is 110010200101.

1010020100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1010020100093 and 1010020100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020100119) 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, 1218359176 + ... + 1218360004.

It is an arithmetic number, because the mean of its divisors is an integer number (16471350000).

Almost surely, 21010020100110 is an apocalyptic number.

1010020100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010020100110 is an abundant number, since it is smaller than the sum of its proper divisors (1098312699890).

1010020100110 is a wasteful number, since it uses less digits than its factorization.

1010020100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010020100110 its reverse (110010200101), we get a palindrome (1120030300211).

Subtracting from 1010020100110 its reverse (110010200101), we obtain a palindrome (900009900009).

The spelling of 1010020100110 in words is "one trillion, ten billion, twenty million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 149 199 298 398 587 745 829 995 1043 1174 1393 1490 1658 1990 2086 2786 2935 4109 4145 5215 5803 5870 6965 8218 8290 10430 11606 13930 20545 29015 29651 41090 58030 59302 87463 116813 123521 148255 164971 174926 207557 233626 247042 296510 329942 415114 437315 486623 584065 612241 617605 817691 824855 864647 874630 973246 1037785 1154797 1168130 1224482 1235210 1635382 1649710 1729294 2075570 2309594 2433115 3061205 3406361 4088455 4323235 4866230 5773985 6122410 6812722 8176910 8646470 11547970 17031805 17405137 24580679 34063610 34810274 49161358 72506827 87025685 96837977 121835959 122903395 145013654 172064753 174051370 193675954 243671918 245806790 344129506 362534135 484189885 507547789 609179795 677865839 725068270 860323765 968379770 1015095578 1218359590 1355731678 1720647530 2537738945 3389329195 5075477890 6778658390 14428858573 28857717146 72144292865 101002010011 144288585730 202004020022 505010050055 1010020100110