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101033321420 = 22540170117971
BaseRepresentation
bin101111000011000001…
…1100010001111001100
3100122210012000111202102
41132012003202033030
53123404012241140
6114225234414232
710204462030253
oct1360603421714
9318705014672
10101033321420
1139936748849
12176b7a31378
1396b1915635
144c663a379a
152964cede15
hex17860e23cc

101033321420 has 48 divisors (see below), whose sum is σ = 213014352096. Its totient is φ = 40252800000.

The previous prime is 101033321419. The next prime is 101033321447. The reversal of 101033321420 is 24123330101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101033321392 and 101033321401.

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 15 ways as a sum of consecutive naturals, for example, 5613035 + ... + 5631005.

It is an arithmetic number, because the mean of its divisors is an integer number (4437799002).

Almost surely, 2101033321420 is an apocalyptic number.

101033321420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101033321420 is an abundant number, since it is smaller than the sum of its proper divisors (111981030676).

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

101033321420 is a wasteful number, since it uses less digits than its factorization.

101033321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19082 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101033321420 its reverse (24123330101), we get a palindrome (125156651521).

The spelling of 101033321420 in words is "one hundred one billion, thirty-three million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 401 701 802 1402 1604 2005 2804 3505 4010 7010 8020 14020 17971 35942 71884 89855 179710 281101 359420 562202 1124404 1405505 2811010 5622020 7206371 12597671 14412742 25195342 28825484 36031855 50390684 62988355 72063710 125976710 144127420 251953420 5051666071 10103332142 20206664284 25258330355 50516660710 101033321420