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101011000001010 = 235111811691126737
BaseRepresentation
bin10110111101111001110100…
…110001100000000111110010
3111020122120001021011220101120
4112331321310301200013302
5101214431012000013020
6554455451321243110
730163542513310131
oct2675716461400762
9436576037156346
10101011000001010
112a2045851706a0
12b3b4737633496
1344493b1339708
141ad2d5c129918
15ba27dbac5740
hex5bde74c601f2

101011000001010 has 64 divisors (see below), whose sum is σ = 265926297297024. Its totient is φ = 24352224998400.

The previous prime is 101011000000987. The next prime is 101011000001017. The reversal of 101011000001010 is 10100000110101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101011000001010.

It is not an unprimeable number, because it can be changed into a prime (101011000001017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845503639 + ... + 845623098.

It is an arithmetic number, because the mean of its divisors is an integer number (4155098395266).

Almost surely, 2101011000001010 is an apocalyptic number.

101011000001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011000001010 is an abundant number, since it is smaller than the sum of its proper divisors (164915297296014).

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

101011000001010 is a wasteful number, since it uses less digits than its factorization.

101011000001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691126939.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011000001010 its reverse (10100000110101), we get a palindrome (111111000111111).

The spelling of 101011000001010 in words is "one hundred one trillion, eleven billion, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 181 330 362 543 905 1086 1810 1991 2715 3982 5430 5973 9955 11946 19910 29865 59730 1691126737 3382253474 5073380211 8455633685 10146760422 16911267370 18602394107 25366901055 37204788214 50733802110 55807182321 93011970535 111614364642 186023941070 279035911605 306093939397 558071823210 612187878794 918281818191 1530469696985 1836563636382 3060939393970 3367033333367 4591409090955 6734066666734 9182818181910 10101100000101 16835166666835 20202200000202 33670333333670 50505500000505 101011000001010