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10010010100000 = 2555881113621
BaseRepresentation
bin1001000110101010001100…
…0110001010000100100000
31022102221120211000000112211
42101222203012022010200
52303001000041200000
633142311332131504
72052125244653311
oct221524306120440
938387524000484
1010010010100000
11320a248817339
121158010166b94
13577c2ac70c11
142686b6760608
151255b3b487ba
hex91aa318a120

10010010100000 has 144 divisors (see below), whose sum is σ = 24660609323112. Its totient is φ = 3999424000000.

The previous prime is 10010010099967. The next prime is 10010010100021. The reversal of 10010010100000 is 101001001.

It can be written as a sum of positive squares in 12 ways, for example, as 6406345717776 + 3603664382224 = 2531076^2 + 1898332^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

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, 88043190 + ... + 88156810.

Almost surely, 210010010100000 is an apocalyptic number.

10010010100000 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 10010010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330304661556).

10010010100000 is an abundant number, since it is smaller than the sum of its proper divisors (14650599223112).

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

10010010100000 is an frugal number, since it uses more digits than its factorization.

10010010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114537 (or 114509 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010010100000 its reverse (101001001), we get a palindrome (10010111101001).

The spelling of 10010010100000 in words is "ten trillion, ten billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 881 1000 1250 1762 2000 2500 3125 3524 4000 4405 5000 6250 7048 8810 10000 12500 14096 17620 20000 22025 25000 28192 35240 44050 50000 70480 88100 100000 110125 113621 140960 176200 220250 227242 352400 440500 454484 550625 568105 704800 881000 908968 1101250 1136210 1762000 1817936 2202500 2272420 2753125 2840525 3524000 3635872 4405000 4544840 5506250 5681050 8810000 9089680 11012500 11362100 14202625 17620000 18179360 22025000 22724200 28405250 44050000 45448400 56810500 71013125 88100000 90896800 100100101 113621000 142026250 200200202 227242000 284052500 355065625 400400404 454484000 500500505 568105000 710131250 800800808 1001001010 1136210000 1420262500 1601601616 2002002020 2272420000 2502502525 2840525000 3203203232 4004004040 5005005050 5681050000 8008008080 10010010100 11362100000 12512512625 16016016160 20020020200 25025025250 40040040400 50050050500 62562563125 80080080800 100100101000 125125126250 200200202000 250250252500 312812815625 400400404000 500500505000 625625631250 1001001010000 1251251262500 2002002020000 2502502525000 5005005050000 10010010100000