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1120220020100 = 2252173134994219
BaseRepresentation
bin10000010011010010010…
…100001111110110000100
310222002111001121012211002
4100103102110033312010
5121323202311120400
62214342202432432
7143635045030316
oct20232224176604
93862431535732
101120220020100
113a209aaa7405
12161133502718
1381836c297cc
143c30caa37b6
151e215bcced5
hex104d250fd84

1120220020100 has 144 divisors (see below), whose sum is σ = 2587881240000. Its totient is φ = 419440619520.

The previous prime is 1120220020099. The next prime is 1120220020103. The reversal of 1120220020100 is 10200220211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1120220020103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 265515791 + ... + 265520009.

It is an arithmetic number, because the mean of its divisors is an integer number (17971397500).

Almost surely, 21120220020100 is an apocalyptic number.

1120220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120220020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293940620000).

1120220020100 is an abundant number, since it is smaller than the sum of its proper divisors (1467661219900).

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

1120220020100 is a wasteful number, since it uses less digits than its factorization.

1120220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1120220020100 its reverse (10200220211), we get a palindrome (1130420240311).

The spelling of 1120220020100 in words is "one trillion, one hundred twenty billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 313 340 425 499 626 850 998 1252 1565 1700 1996 2495 3130 4219 4990 5321 6260 7825 8438 8483 9980 10642 12475 15650 16876 16966 21095 21284 24950 26605 31300 33932 42190 42415 49900 53210 71723 84380 84830 105475 106420 133025 143446 156187 169660 210950 212075 266050 286892 312374 358615 421900 424150 532100 624748 717230 780935 848300 1320547 1434460 1561870 1793075 2105281 2641094 2655179 3123740 3586150 3904675 4210562 5282188 5310358 6602735 7172300 7809350 8421124 10526405 10620716 13205470 13275895 15618700 21052810 22449299 26410940 26551790 33013675 35789777 42105620 44898598 52632025 53103580 66027350 66379475 71579554 89797196 105264050 112246495 132054700 132758950 143159108 178948885 210528100 224492990 265517900 357897770 448985980 561232475 658952953 715795540 894744425 1122464950 1317905906 1789488850 2244929900 2635811812 3294764765 3578977700 6589529530 11202200201 13179059060 16473823825 22404400402 32947647650 44808800804 56011001005 65895295300 112022002010 224044004020 280055005025 560110010050 1120220020100