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1012012011010 = 2571113431234571
BaseRepresentation
bin11101011101000001001…
…11011100111000000010
310120202011212010210211201
432232200213130320002
5113040100033323020
62052524545331414
7133054413106210
oct16564047347002
93522155123751
101012012011010
11360212440620
12144174936b6a
1374580a77370
1436da58adcb0
151b4d10aaa0a
hexeba09dce02

1012012011010 has 128 divisors (see below), whose sum is σ = 2451498835968. Its totient is φ = 290491488000.

The previous prime is 1012012010993. The next prime is 1012012011041. The reversal of 1012012011010 is 101102102101.

It is a super-2 number, since 2×10120120110102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4197025 + ... + 4431595.

It is an arithmetic number, because the mean of its divisors is an integer number (19152334656).

Almost surely, 21012012011010 is an apocalyptic number.

1012012011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012012011010 is an abundant number, since it is smaller than the sum of its proper divisors (1439486824958).

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

1012012011010 is a wasteful number, since it uses less digits than its factorization.

1012012011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235040.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012012011010 its reverse (101102102101), we get a palindrome (1113114113111).

The spelling of 1012012011010 in words is "one trillion, twelve billion, twelve million, eleven thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 431 455 715 770 862 910 1001 1430 2002 2155 3017 4310 4741 5005 5603 6034 9482 10010 11206 15085 23705 28015 30170 33187 39221 47410 56030 61633 66374 78442 123266 165935 196105 234571 308165 331870 392210 431431 469142 616330 862862 1172855 1641997 2157155 2345710 2580281 3049423 3283994 4314310 5160562 6098846 8209985 12901405 15247115 16419970 18061967 21345961 25802810 30494230 33543653 36123934 42691922 67087306 90309835 101100101 106729805 167718265 180619670 202200202 213459610 234805571 335436530 469611142 505500505 707700707 1011001010 1112101111 1174027855 1314301313 1415401414 2224202222 2348055710 2628602626 3538503535 5560505555 6571506565 7077007070 7784707777 9200109191 11121011110 13143013130 14457314443 15569415554 18400218382 28914628886 38923538885 46000545955 72286572215 77847077770 92001091910 101201201101 144573144430 202402402202 506006005505 1012012011010