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11202112002000 = 243539771910971
BaseRepresentation
bin1010001100000011000111…
…1010000001011111010000
31110122220121110001011220010
42203000301322001133100
52432013411133031000
635454102413114520
72234216530642503
oct243006172013720
943586543034803
1011202112002000
113629875206507
12130b064788a40
1363347c173c4a
142aa283d4913a
151465d5266d50
hexa3031e817d0

11202112002000 has 160 divisors (see below), whose sum is σ = 36152593835904. Its totient is φ = 2984170752000.

The previous prime is 11202112001989. The next prime is 11202112002019. The reversal of 11202112002000 is 20021120211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4906515 + ... + 6817485.

Almost surely, 211202112002000 is an apocalyptic number.

11202112002000 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 11202112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076296917952).

11202112002000 is an abundant number, since it is smaller than the sum of its proper divisors (24950481833904).

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

11202112002000 is a wasteful number, since it uses less digits than its factorization.

11202112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911974 (or 1911958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202112002000 its reverse (20021120211), we get a palindrome (11222133122211).

The spelling of 11202112002000 in words is "eleven trillion, two hundred two billion, one hundred twelve million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 977 1000 1200 1500 1954 2000 2931 3000 3908 4885 5862 6000 7816 9770 11724 14655 15632 19540 23448 24425 29310 39080 46896 48850 58620 73275 78160 97700 117240 122125 146550 195400 234480 244250 293100 366375 390800 488500 586200 732750 977000 1172400 1465500 1910971 1954000 2931000 3821942 5732913 5862000 7643884 9554855 11465826 15287768 19109710 22931652 28664565 30575536 38219420 45863304 47774275 57329130 76438840 91726608 95548550 114658260 143322825 152877680 191097100 229316520 238871375 286645650 382194200 458633040 477742750 573291300 716614125 764388400 955485500 1146582600 1433228250 1867018667 1910971000 2293165200 2866456500 3734037334 3821942000 5601056001 5732913000 7468074668 9335093335 11202112002 11465826000 14936149336 18670186670 22404224004 28005280005 29872298672 37340373340 44808448008 46675466675 56010560010 74680746680 89616896016 93350933350 112021120020 140026400025 149361493360 186701866700 224042240040 233377333375 280052800050 373403733400 448084480080 466754666750 560105600100 700132000125 746807466800 933509333500 1120211200200 1400264000250 1867018667000 2240422400400 2800528000500 3734037334000 5601056001000 11202112002000