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1002011120000 = 2754111138649
BaseRepresentation
bin11101001010011001000…
…01000101000110000000
310112210100212200220110222
432211030201011012000
5112404104321320000
62044152331442212
7132251524663442
oct16451441050600
93483325626428
101002011120000
11356a50178140
121422435b6368
1373648b37487
14366d7598492
151b0e80c3a85
hexe94c845180

1002011120000 has 160 divisors (see below), whose sum is σ = 2721214089000. Its totient is φ = 364367360000.

The previous prime is 1002011119961. The next prime is 1002011120027. The reversal of 1002011120000 is 211102001.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002011120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 310676 + ... + 1449324.

Almost surely, 21002011120000 is an apocalyptic number.

1002011120000 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 1002011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360607044500).

1002011120000 is an abundant number, since it is smaller than the sum of its proper divisors (1719202969000).

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

1002011120000 is an equidigital number, since it uses as much as digits as its factorization.

1002011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138694 (or 1138667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002011120000 its reverse (211102001), we get a palindrome (1002222222001).

The spelling of 1002011120000 in words is "one trillion, two billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 440000 880000 1138649 2277298 4554596 5693245 9109192 11386490 12525139 18218384 22772980 25050278 28466225 36436768 45545960 50100556 56932450 62625695 72873536 91091920 100201112 113864900 125251390 142331125 145747072 182183840 200402224 227729800 250502780 284662250 313128475 364367680 400804448 455459600 501005560 569324500 626256950 711655625 728735360 801608896 910919200 1002011120 1138649000 1252513900 1423311250 1565642375 1603217792 1821838400 2004022240 2277298000 2505027800 2846622500 3131284750 3643676800 4008044480 4554596000 5010055600 5693245000 6262569500 7828211875 8016088960 9109192000 10020111200 11386490000 12525139000 15656423750 18218384000 20040222400 22772980000 25050278000 31312847500 40080444800 45545960000 50100556000 62625695000 91091920000 100201112000 125251390000 200402224000 250502780000 501005560000 1002011120000