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1010001120 = 25352104169
BaseRepresentation
bin111100001100110…
…110010011100000
32121101111101001220
4330030312103200
54032030013440
6244115455040
734012603452
oct7414662340
92541441056
101010001120
11479134877
122422b7480
1313132c3cb
14981d22d2
155da098d0
hex3c3364e0

1010001120 has 48 divisors (see below), whose sum is σ = 3181505040. Its totient is φ = 269333504.

The previous prime is 1010001101. The next prime is 1010001133. The reversal of 1010001120 is 211000101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1010001099 and 1010001108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051605 + ... + 1052564.

It is an arithmetic number, because the mean of its divisors is an integer number (66281355).

Almost surely, 21010001120 is an apocalyptic number.

1010001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010001120 is an abundant number, since it is smaller than the sum of its proper divisors (2171503920).

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

1010001120 is a wasteful number, since it uses less digits than its factorization.

1010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104187 (or 2104179 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1010001120 is about 31780.5147850062. The cubic root of 1010001120 is about 1003.3226544070.

Adding to 1010001120 its reverse (211000101), we get a palindrome (1221001221).

The spelling of 1010001120 in words is "one billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2104169 4208338 6312507 8416676 10520845 12625014 16833352 21041690 25250028 31562535 33666704 42083380 50500056 63125070 67333408 84166760 101000112 126250140 168333520 202000224 252500280 336667040 505000560 1010001120