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1120100021001 = 3613862913697
BaseRepresentation
bin10000010011001011001…
…010011111001100001001
310222002011200210122000000
4100103023022133030021
5121322431101133001
62214322234433213
7143632060041603
oct20231312371411
93862150718000
101120100021001
113a20392962a5
121610bb292809
1381818103120
143c2dab88173
151e20a3c7a86
hex104cb29f309

1120100021001 has 56 divisors (see below), whose sum is σ = 1808906649480. Its totient is φ = 689162121216.

The previous prime is 1120100020981. The next prime is 1120100021081. The reversal of 1120100021001 is 1001200010211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 746600976 + 1119353420025 = 27324^2 + 1057995^2 .

It is not a de Polignac number, because 1120100021001 - 25 = 1120100020969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1120100021081) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 81770185 + ... + 81783881.

It is an arithmetic number, because the mean of its divisors is an integer number (32301904455).

Almost surely, 21120100021001 is an apocalyptic number.

It is an amenable number.

1120100021001 is a deficient number, since it is larger than the sum of its proper divisors (688806628479).

1120100021001 is an equidigital number, since it uses as much as digits as its factorization.

1120100021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22357 (or 22342 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120100021001 its reverse (1001200010211), we get a palindrome (2121300031212).

The spelling of 1120100021001 in words is "one trillion, one hundred twenty billion, one hundred million, twenty-one thousand, one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 8629 9477 13697 25887 41091 77661 112177 123273 178061 232983 336531 369819 534183 698949 1009593 1109457 1602549 2096847 3028779 3328371 4807647 6290541 9086337 9985113 14422941 27259011 43268823 81777033 118191413 129806469 354574239 1063722717 1536488369 3191168151 4609465107 9573504453 13828395321 28720513359 41485185963 86161540077 124455557889 373366673667 1120100021001