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1121001109914 = 237533531426613
BaseRepresentation
bin10000010100000000110…
…111110111100110011010
310222011111111100200121110
4100110000313313212122
5121331302241004124
62214551504121150
7143663311134150
oct20240067674632
93864444320543
101121001109914
113a24609a1784
121613110061b6
138192c9bb32a
143c3847093d0
151e25e56c029
hex10500df799a

1121001109914 has 64 divisors (see below), whose sum is σ = 2618030709504. Its totient is φ = 313352472576.

The previous prime is 1121001109913. The next prime is 1121001110003. The reversal of 1121001109914 is 4199011001211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1121001109913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72472 + ... + 1499084.

It is an arithmetic number, because the mean of its divisors is an integer number (40906729836).

Almost surely, 21121001109914 is an apocalyptic number.

1121001109914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121001109914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309015354752).

1121001109914 is an abundant number, since it is smaller than the sum of its proper divisors (1497029599590).

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

1121001109914 is a wasteful number, since it uses less digits than its factorization.

1121001109914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427031.

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 1121001109914 in words is "one trillion, one hundred twenty-one billion, one million, one hundred nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 353 371 706 742 1059 1113 2118 2226 2471 4942 7413 14826 18709 37418 56127 112254 130963 261926 392889 785778 1426613 2853226 4279839 8559678 9986291 19972582 29958873 59917746 75610489 151220978 226831467 453662934 503594389 529273423 1007188778 1058546846 1510783167 1587820269 3021566334 3175640538 3525160723 7050321446 10575482169 21150964338 26690502617 53381005234 80071507851 160143015702 186833518319 373667036638 560500554957 1121001109914