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1000141204120 = 235731373896427
BaseRepresentation
bin11101000110111010000…
…11111010101010011000
310112121112120010100010021
432203131003322222120
5112341242122012440
62043243013000224
7132154300652602
oct16433503725230
93477476110107
101000141204120
113561806aa713
12141a01323074
137340b607c86
143659b0c2172
151b038d5984a
hexe8dd0faa98

1000141204120 has 128 divisors (see below), whose sum is σ = 2304060033600. Its totient is φ = 390628417536.

The previous prime is 1000141204109. The next prime is 1000141204123. The reversal of 1000141204120 is 214021410001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000141204094 and 1000141204103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000141204123) 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, 155612347 + ... + 155618773.

Almost surely, 21000141204120 is an apocalyptic number.

1000141204120 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 1000141204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152030016800).

1000141204120 is an abundant number, since it is smaller than the sum of its proper divisors (1303918829480).

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

1000141204120 is a wasteful number, since it uses less digits than its factorization.

1000141204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1000141204120 its reverse (214021410001), we get a palindrome (1214162614121).

The spelling of 1000141204120 in words is "one trillion, one hundred forty-one million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 137 146 274 292 365 389 548 584 685 730 778 1096 1370 1460 1556 1945 2740 2920 3112 3890 5480 6427 7780 10001 12854 15560 20002 25708 28397 32135 40004 50005 51416 53293 56794 64270 80008 100010 106586 113588 128540 141985 200020 213172 227176 257080 266465 283970 400040 426344 469171 532930 567940 880499 938342 1065860 1135880 1760998 1876684 2131720 2345855 2500103 3521996 3753368 3890389 4402495 4691710 5000206 7043992 7780778 8804990 9383420 10000412 12500515 15561556 17609980 18766840 19451945 20000824 25001030 31123112 35219960 38903890 50002060 64276427 77807780 100004120 128552854 155615560 182507519 257105708 321382135 342514111 365015038 514211416 642764270 685028222 730030076 912537595 1285528540 1370056444 1460060152 1712570555 1825075190 2571057080 2740112888 3425141110 3650150380 6850282220 7300300760 13700564440 25003530103 50007060206 100014120412 125017650515 200028240824 250035301030 500070602060 1000141204120