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111012212011000 = 23533531361231067
BaseRepresentation
bin11001001111011100001011…
…011101100110111111111000
3112120001122220221000122100211
4121033130023131212333320
5104022311002233323000
61032034150044040504
732245240046613316
oct3117341335467770
9476048827018324
10111012212011000
1132410018663763
121054aab1233134
1349c3539602ac1
141d5b03c1d30b6
15cc7a381277ba
hex64f70b766ff8

111012212011000 has 128 divisors (see below), whose sum is σ = 260696999309760. Its totient is φ = 44246366208000.

The previous prime is 111012212010961. The next prime is 111012212011033. The reversal of 111012212011000 is 110212210111.

It is a happy number.

It is a super-2 number, since 2×1110122120110002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480317467 + ... + 480548533.

Almost surely, 2111012212011000 is an apocalyptic number.

111012212011000 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 111012212011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130348499654880).

111012212011000 is an abundant number, since it is smaller than the sum of its proper divisors (149684787298760).

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

111012212011000 is a wasteful number, since it uses less digits than its factorization.

111012212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232802 (or 232788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111012212011000 its reverse (110212210111), we get a palindrome (111122424221111).

The spelling of 111012212011000 in words is "one hundred eleven trillion, twelve billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 353 500 706 1000 1361 1412 1765 2722 2824 3530 5444 6805 7060 8825 10888 13610 14120 17650 27220 34025 35300 44125 54440 68050 70600 88250 136100 170125 176500 231067 272200 340250 353000 462134 480433 680500 924268 960866 1155335 1361000 1848536 1921732 2310670 2402165 3843464 4621340 4804330 5776675 9242680 9608660 11553350 12010825 19217320 23106700 24021650 28883375 46213400 48043300 57766750 60054125 81566651 96086600 115533500 120108250 163133302 231067000 240216500 314482187 326266604 407833255 480433000 628964374 652533208 815666510 1257928748 1572410935 1631333020 2039166275 2515857496 3144821870 3262666040 4078332550 6289643740 7862054675 8156665100 10195831375 12579287480 15724109350 16313330200 20391662750 31448218700 39310273375 40783325500 62896437400 78620546750 81566651000 111012212011 157241093500 222024424022 314482187000 444048848044 555061060055 888097696088 1110122120110 2220244240220 2775305300275 4440488480440 5550610600550 11101221201100 13876526501375 22202442402200 27753053002750 55506106005500 111012212011000