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1000121111000 = 235311181502321
BaseRepresentation
bin11101000110110111101…
…11010001000111011000
310112121111011022111112122
432203123313101013120
5112341222001023000
62043241014200412
7132153635115224
oct16433367210730
93477434274478
101000121111000
11356170326430
121419b6653108
13734073c135b
1436598571784
151b0371db085
hexe8dbdd11d8

1000121111000 has 128 divisors (see below), whose sum is σ = 2567146720320. Its totient is φ = 361670400000.

The previous prime is 1000121110999. The next prime is 1000121111023. The reversal of 1000121111000 is 1111210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739840 + ... + 2242160.

Almost surely, 21000121111000 is an apocalyptic number.

1000121111000 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 1000121111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283573360160).

1000121111000 is an abundant number, since it is smaller than the sum of its proper divisors (1567025609320).

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

1000121111000 is a wasteful number, since it uses less digits than its factorization.

1000121111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502534 (or 502520 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000121111000 its reverse (1111210001), we get a palindrome (1001232321001).

Subtracting from 1000121111000 its reverse (1111210001), we obtain a palindrome (999009900999).

The spelling of 1000121111000 in words is "one trillion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 181 200 220 250 275 362 440 500 550 724 905 1000 1100 1375 1448 1810 1991 2200 2750 3620 3982 4525 5500 7240 7964 9050 9955 11000 15928 18100 19910 22625 36200 39820 45250 49775 79640 90500 99550 181000 199100 248875 398200 497750 502321 995500 1004642 1991000 2009284 2511605 4018568 5023210 5525531 10046420 11051062 12558025 20092840 22102124 25116050 27627655 44204248 50232100 55255310 62790125 90920101 100464200 110510620 125580250 138138275 181840202 221021240 251160500 276276550 363680404 454600505 502321000 552553100 690691375 727360808 909201010 1000121111 1105106200 1381382750 1818402020 2000242222 2273002525 2762765500 3636804040 4000484444 4546005050 5000605555 5525531000 8000968888 9092010100 10001211110 11365012625 18184020200 20002422220 22730025250 25003027775 40004844440 45460050500 50006055550 90920101000 100012111100 125015138875 200024222200 250030277750 500060555500 1000121111000