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1030223201100 = 2235237659140839
BaseRepresentation
bin11101111110111100001…
…01101000001101001100
310122111012000201010012120
432333132011220031030
5113334344114413400
62105140014332540
7134300614502652
oct16773605501514
93574160633176
101030223201100
11367a08159245
121477b77ba150
13761c397c3a2
1437c12392dd2
151bbe9c7dca0
hexefde16834c

1030223201100 has 144 divisors (see below), whose sum is σ = 3066007929600. Its totient is φ = 266893643520.

The previous prime is 1030223201087. The next prime is 1030223201123. The reversal of 1030223201100 is 11023220301.

It is a super-2 number, since 2×10302232011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030223201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7244481 + ... + 7385319.

Almost surely, 21030223201100 is an apocalyptic number.

1030223201100 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 1030223201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533003964800).

1030223201100 is an abundant number, since it is smaller than the sum of its proper divisors (2035784728500).

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

1030223201100 is a wasteful number, since it uses less digits than its factorization.

1030223201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141552 (or 141545 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1030223201100 its reverse (11023220301), we get a palindrome (1041246421401).

The spelling of 1030223201100 in words is "one trillion, thirty billion, two hundred twenty-three million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 659 740 925 1110 1318 1850 1977 2220 2636 2775 3295 3700 3954 5550 6590 7908 9885 11100 13180 16475 19770 24383 32950 39540 48766 49425 65900 73149 97532 98850 121915 140839 146298 197700 243830 281678 292596 365745 422517 487660 563356 609575 704195 731490 845034 1219150 1408390 1462980 1690068 1828725 2112585 2438300 2816780 3520975 3657450 4225170 5211043 7041950 7314900 8450340 10422086 10562925 14083900 15633129 20844172 21125850 26055215 31266258 42251700 52110430 62532516 78165645 92812901 104220860 130276075 156331290 185625802 260552150 278438703 312662580 371251604 390828225 464064505 521104300 556877406 781656450 928129010 1113754812 1392193515 1563312900 1856258020 2320322525 2784387030 3434077337 4640645050 5568774060 6868154674 6960967575 9281290100 10302232011 13736309348 13921935150 17170386685 20604464022 27843870300 34340773370 41208928044 51511160055 68681546740 85851933425 103022320110 171703866850 206044640220 257555800275 343407733700 515111600550 1030223201100