Search a number
-
+
1133123220192 = 253411931149087
BaseRepresentation
bin10000011111010011011…
…010000011001011100000
311000022210022020200202210
4100133103122003023200
5122031114021021232
62224314415042120
7144602564311425
oct20372332031340
94008708220683
101133123220192
113a7611576637
12163734810340
1382b12238452
143cbb4631d4c
151e71d8ad5cc
hex107d36832e0

1133123220192 has 96 divisors (see below), whose sum is σ = 3048594361344. Its totient is φ = 368302054400.

The previous prime is 1133123220169. The next prime is 1133123220193. The reversal of 1133123220192 is 2910223213311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133123220193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7525873 + ... + 7674959.

It is an arithmetic number, because the mean of its divisors is an integer number (31756191264).

Almost surely, 21133123220192 is an apocalyptic number.

1133123220192 is a gapful number since it is divisible by the number (12) 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 1133123220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524297180672).

1133123220192 is an abundant number, since it is smaller than the sum of its proper divisors (1915471141152).

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

1133123220192 is a wasteful number, since it uses less digits than its factorization.

1133123220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151072 (or 151064 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1133123220192 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1931 1968 3862 3936 5793 7724 11586 15448 23172 30896 46344 61792 79171 92688 149087 158342 185376 237513 298174 316684 447261 475026 596348 633368 894522 950052 1192696 1266736 1789044 1900104 2385392 2533472 3578088 3800208 4770784 6112567 7156176 7600416 12225134 14312352 18337701 24450268 36675402 48900536 73350804 97801072 146701608 195602144 287886997 293403216 575773994 586806432 863660991 1151547988 1727321982 2303095976 3454643964 4606191952 6909287928 9212383904 11803366877 13818575856 23606733754 27637151712 35410100631 47213467508 70820201262 94426935016 141640402524 188853870032 283280805048 377707740064 566561610096 1133123220192