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1103121230100 = 2235237857115963
BaseRepresentation
bin10000000011010111001…
…001100010100100010100
310220110100102012200111120
4100003113021202210110
5121033143013330400
62202433352203540
7142461241513521
oct20032711424424
93813312180446
101103121230100
113959161a33aa
121599610995b0
13800406275a6
143b569c2a148
151da649deca0
hex100d7262914

1103121230100 has 144 divisors (see below), whose sum is σ = 3281812742208. Its totient is φ = 285878799360.

The previous prime is 1103121230093. The next prime is 1103121230117. The reversal of 1103121230100 is 10321213011.

It is a happy number.

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 1103121230100.

It is a congruent number.

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, 9454719 + ... + 9570681.

Almost surely, 21103121230100 is an apocalyptic number.

1103121230100 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 1103121230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640906371104).

1103121230100 is an abundant number, since it is smaller than the sum of its proper divisors (2178691512108).

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

1103121230100 is a wasteful number, since it uses less digits than its factorization.

1103121230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116874 (or 116867 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1103121230100 its reverse (10321213011), we get a palindrome (1113442443111).

The spelling of 1103121230100 in words is "one trillion, one hundred three billion, one hundred twenty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 857 925 1110 1714 1850 2220 2571 2775 3428 3700 4285 5142 5550 8570 10284 11100 12855 17140 21425 25710 31709 42850 51420 63418 64275 85700 95127 115963 126836 128550 158545 190254 231926 257100 317090 347889 380508 463852 475635 579815 634180 695778 792725 951270 1159630 1391556 1585450 1739445 1902540 2319260 2378175 2899075 3170900 3478890 4290631 4756350 5798150 6957780 8581262 8697225 9512700 11596300 12871893 17162524 17394450 21453155 25743786 34788900 42906310 51487572 64359465 85812620 99380291 107265775 128718930 198760582 214531550 257437860 298140873 321797325 397521164 429063100 496901455 596281746 643594650 993802910 1192563492 1287189300 1490704365 1987605820 2484507275 2981408730 3677070767 4969014550 5962817460 7354141534 7453521825 9938029100 11031212301 14708283068 14907043650 18385353835 22062424602 29814087300 36770707670 44124849204 55156061505 73541415340 91926769175 110312123010 183853538350 220624246020 275780307525 367707076700 551560615050 1103121230100