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1010121002200 = 23527990770487
BaseRepresentation
bin11101011001011111110…
…01110100110011011000
310120120022001212121102101
432230233321310303120
5113022211434032300
62052013154413144
7132656511565042
oct16545771646330
93516261777371
101010121002200
1135a431a76722
121439275911b4
137433c07113b
1436c666a6a92
151b420076b6a
hexeb2fe74cd8

1010121002200 has 96 divisors (see below), whose sum is σ = 2380915468800. Its totient is φ = 398488371840.

The previous prime is 1010121002183. The next prime is 1010121002203. The reversal of 1010121002200 is 22001210101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121002203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14295357 + ... + 14365843.

It is an arithmetic number, because the mean of its divisors is an integer number (24801202800).

Almost surely, 21010121002200 is an apocalyptic number.

1010121002200 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 1010121002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190457734400).

1010121002200 is an abundant number, since it is smaller than the sum of its proper divisors (1370794466600).

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

1010121002200 is a wasteful number, since it uses less digits than its factorization.

1010121002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71489 (or 71480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010121002200 its reverse (22001210101), we get a palindrome (1032122212301).

The spelling of 1010121002200 in words is "one trillion, ten billion, one hundred twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 907 1580 1814 1975 3160 3628 3950 4535 7256 7900 9070 15800 18140 22675 36280 45350 70487 71653 90700 140974 143306 181400 281948 286612 352435 358265 563896 573224 704870 716530 1409740 1433060 1762175 1791325 2819480 2866120 3524350 3582650 5568473 7048700 7165300 11136946 14097400 14330600 22273892 27842365 44547784 55684730 63931709 111369460 127863418 139211825 222738920 255726836 278423650 319658545 511453672 556847300 639317090 1113694600 1278634180 1598292725 2557268360 3196585450 5050605011 6393170900 10101210022 12786341800 20202420044 25253025055 40404840088 50506050110 101012100220 126265125275 202024200440 252530250550 505060501100 1010121002200