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2220022111100 = 225261585162201
BaseRepresentation
bin100000010011100011101…
…000010001101101111100
321212020021011021011102212
4200103203220101231330
5242333101130023400
64415510350235552
7316251134406563
oct40234350215574
97766234234385
102220022111100
11786562673442
122ba308ab5bb8
13131468a00461
1479641b70bda
153cb340d9335
hex204e3a11b7c

2220022111100 has 72 divisors (see below), whose sum is σ = 4897338123216. Its totient is φ = 873288000000.

The previous prime is 2220022111061. The next prime is 2220022111121. The reversal of 2220022111100 is 11112200222.

It is a super-4 number, since 4×22200221111004 (a number of 50 digits) contains 4444 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35660000 + ... + 35722200.

Almost surely, 22220022111100 is an apocalyptic number.

2220022111100 is a gapful number since it is divisible by the number (20) 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 2220022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448669061608).

2220022111100 is an abundant number, since it is smaller than the sum of its proper divisors (2677316012116).

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

2220022111100 is a wasteful number, since it uses less digits than its factorization.

2220022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68127 (or 68120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2220022111100 its reverse (11112200222), we get a palindrome (2231134311322).

The spelling of 2220022111100 in words is "two trillion, two hundred twenty billion, twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 5851 6100 11702 23404 29255 58510 62201 117020 124402 146275 248804 292550 311005 356911 585100 622010 713822 1244020 1427644 1555025 1784555 3110050 3569110 3794261 6220100 7138220 7588522 8922775 15177044 17845550 18971305 35691100 37942610 75885220 94856525 189713050 363938051 379426100 727876102 1455752204 1819690255 3639380510 7278761020 9098451275 18196902550 22200221111 36393805100 44400442222 88800884444 111001105555 222002211110 444004422220 555005527775 1110011055550 2220022111100