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1120021200100 = 2252114723839091
BaseRepresentation
bin10000010011000110011…
…101110011110011100100
310222001222012111010001101
4100103012131303303210
5121322300411400400
62214310341205444
7143630112056215
oct20230635636344
93861865433041
101120021200100
113a1aa884aa60
12161098a00884
138180499663a
143c2d050b40c
151e20350856a
hex104c6773ce4

1120021200100 has 144 divisors (see below), whose sum is σ = 2709242597376. Its totient is φ = 398403792000.

The previous prime is 1120021200073. The next prime is 1120021200101. The reversal of 1120021200100 is 10021200211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1120021200101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123196555 + ... + 123205645.

It is an arithmetic number, because the mean of its divisors is an integer number (18814184704).

Almost surely, 21120021200100 is an apocalyptic number.

1120021200100 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 1120021200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354621298688).

1120021200100 is an abundant number, since it is smaller than the sum of its proper divisors (1589221397276).

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

1120021200100 is a wasteful number, since it uses less digits than its factorization.

1120021200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11546 (or 11539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120021200100 its reverse (10021200211), we get a palindrome (1130042400311).

The spelling of 1120021200100 in words is "one trillion, one hundred twenty billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2383 2585 4700 4766 5170 9091 9532 10340 11915 12925 18182 23830 25850 26213 36364 45455 47660 51700 52426 59575 90910 100001 104852 112001 119150 131065 181820 200002 224002 227275 238300 262130 400004 427277 448004 454550 500005 524260 560005 655325 854554 909100 1000010 1120010 1232011 1310650 1709108 2000020 2136385 2240020 2464022 2500025 2621300 2800025 4272770 4700047 4928044 5000050 5600050 6160055 8545540 9400094 10000100 10681925 11200100 12320110 18800188 21363850 21663853 23500235 24640220 30800275 42727700 43327706 47000470 61600550 86655412 94000940 108319265 117501175 123201100 216638530 235002350 238302383 433277060 470004700 476604766 541596325 953209532 1018201091 1083192650 1191511915 2036402182 2166385300 2383023830 4072804364 4766047660 5091005455 5957559575 10182010910 11200212001 11915119150 20364021820 22400424002 23830238300 25455027275 44800848004 50910054550 56001060005 101820109100 112002120010 224004240020 280005300025 560010600050 1120021200100