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1102000120100 = 22521123127342971
BaseRepresentation
bin10000000010010100010…
…100110110000100100100
310220100110021122101200222
4100002110110312010210
5121023344012320400
62202130223023512
7142421406316325
oct20022424660444
93810407571628
101102000120100
113953a037a910
121596a973ab98
137cbc22951a9
143b4a0d9444c
151d9eb389185
hex10094536124

1102000120100 has 144 divisors (see below), whose sum is σ = 2743600398336. Its totient is φ = 380285136000.

The previous prime is 1102000120093. The next prime is 1102000120139. The reversal of 1102000120100 is 10210002011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3041615 + ... + 3384585.

It is an arithmetic number, because the mean of its divisors is an integer number (19052780544).

Almost surely, 21102000120100 is an apocalyptic number.

1102000120100 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 1102000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371800199168).

1102000120100 is an abundant number, since it is smaller than the sum of its proper divisors (1641600278236).

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

1102000120100 is a wasteful number, since it uses less digits than its factorization.

1102000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343146 (or 343139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102000120100 its reverse (10210002011), we get a palindrome (1112210122111).

The spelling of 1102000120100 in words is "one trillion, one hundred two billion, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 127 220 230 253 254 275 460 506 508 550 575 635 1012 1100 1150 1265 1270 1397 2300 2530 2540 2794 2921 3175 5060 5588 5842 6325 6350 6985 11684 12650 12700 13970 14605 25300 27940 29210 32131 34925 58420 64262 69850 73025 128524 139700 146050 160655 292100 321310 342971 642620 685942 803275 1371884 1606550 1714855 3213100 3429710 3772681 6859420 7545362 7888333 8574275 15090724 15776666 17148550 18863405 31553332 34297100 37726810 39441665 43557317 75453620 78883330 86771663 87114634 94317025 157766660 173543326 174229268 188634050 197208325 217786585 347086652 377268100 394416650 433858315 435573170 479130487 788833300 867716630 871146340 958260974 1001818291 1088932925 1735433260 1916521948 2003636582 2169291575 2177865850 2395652435 4007273164 4338583150 4355731700 4791304870 5009091455 8677166300 9582609740 10018182910 11020001201 11978262175 20036365820 22040002402 23956524350 25045457275 44080004804 47913048700 50090914550 55100006005 100181829100 110200012010 220400024020 275500030025 551000060050 1102000120100