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1242011000 = 235319131499
BaseRepresentation
bin100101000000111…
…1001010101111000
310012120001200210102
41022001321111320
510020423323000
6323124334532
742530630216
oct11201712570
93176050712
101242011000
115880a027a
122a7b44448
1316a413469
14bad47cb6
15740883d5
hex4a079578

1242011000 has 128 divisors (see below), whose sum is σ = 3088800000. Its totient is φ = 466128000.

The previous prime is 1242010997. The next prime is 1242011003. The reversal of 1242011000 is 1102421.

It is an interprime number because it is at equal distance from previous prime (1242010997) and next prime (1242011003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242011003) 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, 2488751 + ... + 2489249.

It is an arithmetic number, because the mean of its divisors is an integer number (24131250).

Almost surely, 21242011000 is an apocalyptic number.

1242011000 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 1242011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544400000).

1242011000 is an abundant number, since it is smaller than the sum of its proper divisors (1846789000).

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

1242011000 is a wasteful number, since it uses less digits than its factorization.

1242011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1242011000 is about 35242.1764367639. The cubic root of 1242011000 is about 1074.9175346872.

Adding to 1242011000 its reverse (1102421), we get a palindrome (1243113421).

The spelling of 1242011000 in words is "one billion, two hundred forty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 131 152 190 200 250 262 380 475 499 500 524 655 760 950 998 1000 1048 1310 1900 1996 2375 2489 2495 2620 3275 3800 3992 4750 4978 4990 5240 6550 9481 9500 9956 9980 12445 12475 13100 16375 18962 19000 19912 19960 24890 24950 26200 32750 37924 47405 49780 49900 62225 62375 65369 65500 75848 94810 99560 99800 124450 124750 130738 131000 189620 237025 248900 249500 261476 311125 326845 379240 474050 497800 499000 522952 622250 653690 948100 1185125 1242011 1244500 1307380 1634225 1896200 2370250 2484022 2489000 2614760 3268450 4740500 4968044 6210055 6536900 8171125 9481000 9936088 12420110 13073800 16342250 24840220 31050275 32684500 49680440 62100550 65369000 124201100 155251375 248402200 310502750 621005500 1242011000