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1002111420 = 2235149197569
BaseRepresentation
bin111011101110110…
…000000110111100
32120211122112102210
4323232300012330
54023020031140
6243234420420
733555543432
oct7356600674
92524575383
101002111420
11474736162
1223b731710
1312c7c924b
149713ad52
155ce9bd80
hex3bbb01bc

1002111420 has 96 divisors (see below), whose sum is σ = 2844072000. Its totient is φ = 263624704.

The previous prime is 1002111413. The next prime is 1002111491. The reversal of 1002111420 is 241112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002111396 and 1002111405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760896 + ... + 1761464.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 21002111420 is an apocalyptic number.

1002111420 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 1002111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422036000).

1002111420 is an abundant number, since it is smaller than the sum of its proper divisors (1841960580).

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

1002111420 is a wasteful number, since it uses less digits than its factorization.

1002111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002111420 is about 31656.1434795839. The cubic root of 1002111420 is about 1000.7033119031.

Adding to 1002111420 its reverse (241112001), we get a palindrome (1243223421).

The spelling of 1002111420 in words is "one billion, two million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 197 298 394 447 569 591 596 745 788 894 985 1138 1182 1490 1707 1788 1970 2235 2276 2364 2845 2955 2980 3414 3940 4470 5690 5910 6828 8535 8940 11380 11820 17070 29353 34140 58706 84781 88059 112093 117412 146765 169562 176118 224186 254343 293530 336279 339124 352236 423905 440295 448372 508686 560465 587060 672558 847810 880590 1017372 1120930 1271715 1345116 1681395 1695620 1761180 2241860 2543430 3362790 5086860 6725580 16701857 33403714 50105571 66807428 83509285 100211142 167018570 200422284 250527855 334037140 501055710 1002111420