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1120020011010 = 2335291109128983
BaseRepresentation
bin10000010011000110011…
…001010001100000000010
310222001222010020200221000
4100103012121101200002
5121322300110323020
62214310255512430
7143630066004405
oct20230631214002
93861863220830
101120020011010
113a1aa810863a
12161098528716
138180466b334
143c2d02bbd3c
151e203371090
hex104c6651802

1120020011010 has 128 divisors (see below), whose sum is σ = 3092520384000. Its totient is φ = 288110704896.

The previous prime is 1120020011009. The next prime is 1120020011029. The reversal of 1120020011010 is 101100200211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120020010983 and 1120020011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8618979 + ... + 8747961.

It is an arithmetic number, because the mean of its divisors is an integer number (24160315500).

Almost surely, 21120020011010 is an apocalyptic number.

1120020011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120020011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546260192000).

1120020011010 is an abundant number, since it is smaller than the sum of its proper divisors (1972500372990).

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

1120020011010 is a wasteful number, since it uses less digits than its factorization.

1120020011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130137 (or 130131 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120020011010 its reverse (101100200211), we get a palindrome (1221120211221).

The spelling of 1120020011010 in words is "one trillion, one hundred twenty billion, twenty million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1109 1305 1566 2218 2610 3327 3915 5545 6654 7830 9981 11090 16635 19962 29943 32161 33270 49905 59886 64322 96483 99810 128983 149715 160805 192966 257966 289449 299430 321610 386949 482415 578898 644915 773898 868347 964830 1160847 1289830 1447245 1736694 1934745 2321694 2894490 3482541 3740507 3869490 4341735 5804235 6965082 7481014 8683470 11221521 11608470 17412705 18702535 22443042 33664563 34825410 37405070 56107605 67329126 100993689 112215210 143042147 168322815 201987378 286084294 336645630 429126441 504968445 715210735 858252882 1009936890 1287379323 1430421470 2145632205 2574758646 3862137969 4148222263 4291264410 6436896615 7724275938 8296444526 12444666789 12873793230 19310689845 20741111315 24889333578 37334000367 38621379690 41482222630 62223333945 74668000734 112002001101 124446667890 186670001835 224004002202 373340003670 560010005505 1120020011010