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11023012222000 = 2453192631102963
BaseRepresentation
bin1010000001100111111010…
…1110100101010000110000
31110000210022200012200022221
42200121332232211100300
52421100112112101000
635235522451210424
72215246342635502
oct240317656452060
943023280180287
1011023012222000
11356a9190369a9
1212a04005a6a14
1361c608ba226c
142a1733925d72
15141b01ad061a
hexa067eba5430

11023012222000 has 160 divisors (see below), whose sum is σ = 28163171013120. Its totient is φ = 4161255033600.

The previous prime is 11023012221997. The next prime is 11023012222009. The reversal of 11023012222000 is 22221032011.

It is a happy number.

It is a super-2 number, since 2×110230122220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11023012222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9442519 + ... + 10545481.

It is an arithmetic number, because the mean of its divisors is an integer number (176019818832).

Almost surely, 211023012222000 is an apocalyptic number.

11023012222000 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 11023012222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081585506560).

11023012222000 is an abundant number, since it is smaller than the sum of its proper divisors (17140158791120).

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

11023012222000 is a wasteful number, since it uses less digits than its factorization.

11023012222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103268 (or 1103252 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11023012222000 its reverse (22221032011), we get a palindrome (11045233254011).

The spelling of 11023012222000 in words is "eleven trillion, twenty-three billion, twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 263 304 380 400 475 500 526 760 950 1000 1052 1315 1520 1900 2000 2104 2375 2630 3800 4208 4750 4997 5260 6575 7600 9500 9994 10520 13150 19000 19988 21040 24985 26300 32875 38000 39976 49970 52600 65750 79952 99940 105200 124925 131500 199880 249850 263000 399760 499700 526000 624625 999400 1102963 1249250 1998800 2205926 2498500 4411852 4997000 5514815 8823704 9994000 11029630 17647408 20956297 22059260 27574075 41912594 44118520 55148150 83825188 88237040 104781485 110296300 137870375 167650376 209562970 220592600 275740750 290079269 335300752 419125940 441185200 523907425 551481500 580158538 838251880 1047814850 1102963000 1160317076 1450396345 1676503760 2095629700 2205926000 2320634152 2619537125 2900792690 4191259400 4641268304 5239074250 5511506111 5801585380 7251981725 8382518800 10478148500 11023012222 11603170760 14503963450 20956297000 22046024444 23206341520 27557530555 29007926900 36259908625 41912594000 44092048888 55115061110 58015853800 72519817250 88184097776 110230122220 116031707600 137787652775 145039634500 220460244440 275575305550 290079269000 440920488880 551150611100 580158538000 688938263875 1102301222200 1377876527750 2204602444400 2755753055500 5511506111000 11023012222000