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1123242000140 = 2251343227344201
BaseRepresentation
bin10000010110000110011…
…100001011111100001100
310222101021122222201002202
4100112012130023330030
5121400344423001030
62220002114141032
7144102661316621
oct20260634137414
93871248881082
101123242000140
113a340090a777
12161837581778
1381bc9038790
143c51818c348
151e341164745
hex1058670bf0c

1123242000140 has 96 divisors (see below), whose sum is σ = 2600533083456. Its totient is φ = 404903116800.

The previous prime is 1123242000137. The next prime is 1123242000143. The reversal of 1123242000140 is 410002423211.

It is an interprime number because it is at equal distance from previous prime (1123242000137) and next prime (1123242000143).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1123242000143) 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, 25390040 + ... + 25434240.

It is an arithmetic number, because the mean of its divisors is an integer number (27088886286).

Almost surely, 21123242000140 is an apocalyptic number.

1123242000140 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 1123242000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300266541728).

1123242000140 is an abundant number, since it is smaller than the sum of its proper divisors (1477291083316).

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

1123242000140 is a wasteful number, since it uses less digits than its factorization.

1123242000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46539 (or 46537 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1123242000140 its reverse (410002423211), we get a palindrome (1533244423351).

The spelling of 1123242000140 in words is "one trillion, one hundred twenty-three billion, two hundred forty-two million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2273 2795 4546 5590 9092 11180 11365 22730 29549 44201 45460 59098 88402 97739 118196 147745 176804 195478 221005 295490 390956 442010 488695 574613 590980 884020 977390 1149226 1270607 1900643 1954780 2298452 2541214 2873065 3801286 5082428 5746130 6353035 7602572 9503215 11492260 12706070 19006430 24708359 25412140 38012860 49416718 98833436 100468873 123541795 200937746 247083590 401875492 494167180 502344365 1004688730 1306095349 2009377460 2612190698 4320161539 5224381396 6530476745 8640323078 13060953490 17280646156 21600807695 26121906980 43201615390 56162100007 86403230780 112324200014 224648400028 280810500035 561621000070 1123242000140