Search a number
-
+
1002121201128 = 233192197634213
BaseRepresentation
bin11101001010100110001…
…01000000010111101000
310112210122112211121101210
432211103011000113220
5112404321011414003
62044211303113120
7132254332443615
oct16452305002750
93483575747353
101002121201128
11356aa7324783
121422744427a0
137366589a738
143670805150c
151b102aba503
hexe9531405e8

1002121201128 has 32 divisors (see below), whose sum is σ = 2637161056800. Its totient is φ = 316459326528.

The previous prime is 1002121201121. The next prime is 1002121201139. The reversal of 1002121201128 is 8211021212001.

It is not an unprimeable number, because it can be changed into a prime (1002121201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1098816651 + ... + 1098817562.

It is an arithmetic number, because the mean of its divisors is an integer number (82411283025).

Almost surely, 21002121201128 is an apocalyptic number.

It is an amenable number.

1002121201128 is an abundant number, since it is smaller than the sum of its proper divisors (1635039855672).

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

1002121201128 is a wasteful number, since it uses less digits than its factorization.

1002121201128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197634241 (or 2197634237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1002121201128 its reverse (8211021212001), we get a palindrome (9213142413129).

The spelling of 1002121201128 in words is "one trillion, two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 2197634213 4395268426 6592902639 8790536852 13185805278 17581073704 26371610556 41755050047 52743221112 83510100094 125265150141 167020200188 250530300282 334040400376 501060600564 1002121201128