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1122110003300 = 22521113493315907
BaseRepresentation
bin10000010101000010111…
…101111101100001100100
310222021100202221022100212
4100111002331331201210
5121341040130101200
62215253515354552
7144032634440366
oct20250275754144
93867322838325
101122110003300
113a297a9307a0
12161580452a58
1381a78663c70
143c44bac0d36
151e2c6aad035
hex10542f7d864

1122110003300 has 144 divisors (see below), whose sum is σ = 2861434064832. Its totient is φ = 376552281600.

The previous prime is 1122110003293. The next prime is 1122110003303. The reversal of 1122110003300 is 33000112211.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1122110003303) 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 47 ways as a sum of consecutive naturals, for example, 70533947 + ... + 70549853.

Almost surely, 21122110003300 is an apocalyptic number.

1122110003300 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 1122110003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430717032416).

1122110003300 is an abundant number, since it is smaller than the sum of its proper divisors (1739324061532).

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

1122110003300 is a wasteful number, since it uses less digits than its factorization.

1122110003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20878 (or 20871 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1122110003300 its reverse (33000112211), we get a palindrome (1155110115511).

The spelling of 1122110003300 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 4933 7150 9866 14300 15907 19732 24665 31814 49330 54263 63628 64129 79535 98660 108526 123325 128258 159070 174977 206791 217052 246650 256516 271315 318140 320645 349954 397675 413582 493300 542630 641290 699908 705419 795350 827164 874885 1033955 1085260 1282580 1356575 1410838 1590700 1603225 1749770 2067910 2274701 2713150 2821676 3206450 3499540 3527095 4135820 4374425 4549402 5169775 5426300 6412900 7054190 8748850 9098804 10339550 11373505 14108380 17497700 17635475 20679100 22747010 35270950 45494020 56867525 70541900 78469231 113735050 156938462 227470100 313876924 392346155 784692310 863161541 1020100003 1569384620 1726323082 1961730775 2040200006 3452646164 3923461550 4080400012 4315807705 5100500015 7846923100 8631615410 10201000030 11221100033 17263230820 20402000060 21579038525 22442200066 25502500075 43158077050 44884400132 51005000150 56105500165 86316154100 102010000300 112211000330 224422000660 280527500825 561055001650 1122110003300