Search a number
-
+
20991069900 = 22325261382351
BaseRepresentation
bin10011100011001010…
…100100111011001100
32000011220101211120100
4103203022210323030
5320442203214100
613350531251100
71342115102343
oct234312447314
960156354510
1020991069900
1189a1a03559
124099a49a90
131c96b09228
141031b8ab5a
1582cc86400
hex4e32a4ecc

20991069900 has 108 divisors (see below), whose sum is σ = 66874129504. Its totient is φ = 5505840000.

The previous prime is 20991069877. The next prime is 20991069901. The reversal of 20991069900 is 996019902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20991069901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136276 + ... + 246075.

Almost surely, 220991069900 is an apocalyptic number.

20991069900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20991069900 is an abundant number, since it is smaller than the sum of its proper divisors (45883059604).

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

20991069900 is a wasteful number, since it uses less digits than its factorization.

20991069900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382432 (or 382422 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 20991069900 in words is "twenty billion, nine hundred ninety-one million, sixty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 382351 764702 1147053 1529404 1911755 2294106 3441159 3823510 4588212 5735265 6882318 7647020 9558775 11470530 13764636 17205795 19117550 22941060 23323411 28676325 34411590 38235100 46646822 57352650 68823180 69970233 86028975 93293644 114705300 116617055 139940466 172057950 209910699 233234110 279880932 344115900 349851165 419821398 466468220 583085275 699702330 839642796 1049553495 1166170550 1399404660 1749255825 2099106990 2332341100 3498511650 4198213980 5247767475 6997023300 10495534950 20991069900