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70101120 = 2735291259
BaseRepresentation
bin1000010110110…
…10100010000000
311212220111122210
410023122202000
5120421213440
610542302120
71510564305
oct413324200
9155814583
1070101120
1136630011
121b587940
13116a586b
14944b0ac
15624aa80
hex42da880

70101120 has 128 divisors (see below), whose sum is σ = 231336000. Its totient is φ = 18034688.

The previous prime is 70101067. The next prime is 70101121. The reversal of 70101120 is 2110107.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 70101096 and 70101105.

It is not an unprimeable number, because it can be changed into a prime (70101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55051 + ... + 56309.

Almost surely, 270101120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115668000).

70101120 is an abundant number, since it is smaller than the sum of its proper divisors (161234880).

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

70101120 is a wasteful number, since it uses less digits than its factorization.

70101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 70101120 is about 8372.6411603508. The cubic root of 70101120 is about 412.3268841990.

Adding to 70101120 its reverse (2110107), we get a palindrome (72211227).

The spelling of 70101120 in words is "seventy million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1259 1392 1740 1856 1920 2320 2518 2784 3480 3712 3777 4640 5036 5568 6295 6960 7554 9280 10072 11136 12590 13920 15108 18560 18885 20144 25180 27840 30216 36511 37770 40288 50360 55680 60432 73022 75540 80576 100720 109533 120864 146044 151080 161152 182555 201440 219066 241728 292088 302160 365110 402880 438132 483456 547665 584176 604320 730220 805760 876264 1095330 1168352 1208640 1460440 1752528 2190660 2336704 2417280 2920880 3505056 4381320 4673408 5841760 7010112 8762640 11683520 14020224 17525280 23367040 35050560 70101120