Search a number
-
+
10120022222002 = 27112331491187711
BaseRepresentation
bin1001001101000100000001…
…0101000110010010110010
31022211110112202012212011221
42103101000111012102302
52311301301142101002
633305023553455254
72063101404402010
oct223210025062262
938743482185157
1010120022222002
113251971796930
1211753b2b7152a
13585410b234b4
1426db513bb8b0
151283a1d37c37
hex934405464b2

10120022222002 has 128 divisors (see below), whose sum is σ = 20427294375936. Its totient is φ = 3642324840000.

The previous prime is 10120022221999. The next prime is 10120022222003. The reversal of 10120022222002 is 20022222002101.

It is not an unprimeable number, because it can be changed into a prime (10120022222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53818927 + ... + 54006637.

It is an arithmetic number, because the mean of its divisors is an integer number (159588237312).

Almost surely, 210120022222002 is an apocalyptic number.

10120022222002 is an abundant number, since it is smaller than the sum of its proper divisors (10307272153934).

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

10120022222002 is a wasteful number, since it uses less digits than its factorization.

10120022222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188276.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10120022222002 its reverse (20022222002101), we get a palindrome (30142244224103).

It can be divided in two parts, 101 and 20022222002, that multiplied together give a palindrome (2022244422202).

The spelling of 10120022222002 in words is "ten trillion, one hundred twenty billion, twenty-two million, two hundred twenty-two thousand, two".

Divisors: 1 2 7 11 14 22 23 31 46 62 77 154 161 217 253 322 341 434 491 506 682 713 982 1426 1771 2387 3437 3542 4774 4991 5401 6874 7843 9982 10802 11293 15221 15686 22586 30442 37807 54901 75614 79051 106547 109802 124223 158102 167431 187711 213094 248446 334862 350083 375422 700166 869561 1172017 1313977 1739122 2064821 2344034 2450581 2627954 3850913 4129642 4317353 4901162 5819041 7701826 8634706 11638082 14453747 26956391 28907494 30221471 40733287 47490883 53912782 60442942 64009451 81466574 92166101 94981766 128018902 133837943 184332202 267675886 332436181 448066157 645162707 664872362 896132314 936865601 1013827111 1290325414 1472217373 1873731202 2027654222 2119820323 2857149131 2944434746 4239640646 5714298262 7096789777 10305521611 14193579554 14838742261 20000043917 20611043222 23318023553 29677484522 31428640441 40000087834 46636047106 62857280882 65714430013 131428860026 163226164871 220000483087 326452329742 440000966174 460001010091 722858730143 920002020182 1445717460286 5060011111001 10120022222002