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1010111010132 = 223743444162971
BaseRepresentation
bin11101011001011110100…
…11101101010101010100
310120120021101001221212210
432230233103231111110
5113022201404311012
62052012200313420
7132656330630460
oct16545723552524
93516241057783
101010111010132
1135a427371514
12143924172870
1374339c83083
1436c652254a0
151b41e25123c
hexeb2f4ed554

1010111010132 has 96 divisors (see below), whose sum is σ = 2756936326144. Its totient is φ = 281823494400.

The previous prime is 1010111010131. The next prime is 1010111010149. The reversal of 1010111010132 is 2310101110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16009407 + ... + 16072377.

Almost surely, 21010111010132 is an apocalyptic number.

1010111010132 is a gapful number since it is divisible by the number (12) 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 1010111010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378468163072).

1010111010132 is an abundant number, since it is smaller than the sum of its proper divisors (1746825316012).

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

1010111010132 is a wasteful number, since it uses less digits than its factorization.

1010111010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67469 (or 67467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1010111010132 its reverse (2310101110101), we get a palindrome (3320212120233).

The spelling of 1010111010132 in words is "one trillion, ten billion, one hundred eleven million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 4441 8882 13323 17764 26646 31087 53292 62174 62971 93261 124348 125942 186522 188913 190963 251884 373044 377826 381926 440797 572889 755652 763852 881594 1145778 1322391 1336741 1763188 2291556 2644782 2673482 2707753 4010223 5289564 5346964 5415506 8020446 8123259 10831012 16040892 16246518 18954271 32493036 37908542 56862813 75817084 113725626 227451252 279654211 559308422 838962633 1118616844 1677925266 1957579477 3355850532 3915158954 5872738431 7830317908 11745476862 12025131073 23490953724 24050262146 36075393219 48100524292 72150786438 84175917511 144301572876 168351835022 252527752533 336703670044 505055505066 1010111010132