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202411101420 = 223351123097813
BaseRepresentation
bin1011110010000010100…
…1000100110011101100
3201100110101012022212000
42330200221010303230
511304014220221140
6232553020212300
720423635655133
oct2744051046354
9640411168760
10202411101420
1178929876400
123328b09a090
13161199c3ac8
149b223d091a
1553e9e8ea30
hex2f20a44cec

202411101420 has 144 divisors (see below), whose sum is σ = 692175560160. Its totient is φ = 49069342080.

The previous prime is 202411101407. The next prime is 202411101457. The reversal of 202411101420 is 24101114202.

202411101420 is a `hidden beast` number, since 2 + 0 + 241 + 1 + 1 + 0 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202411101393 and 202411101402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1483567 + ... + 1614246.

Almost surely, 2202411101420 is an apocalyptic number.

202411101420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202411101420 is an abundant number, since it is smaller than the sum of its proper divisors (489764458740).

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

202411101420 is a wasteful number, since it uses less digits than its factorization.

202411101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097853 (or 3097834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202411101420 its reverse (24101114202), we get a palindrome (226512215622).

The spelling of 202411101420 in words is "two hundred two billion, four hundred eleven million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 65340 3097813 6195626 9293439 12391252 15489065 18586878 27880317 30978130 34075943 37173756 46467195 55760634 61956260 68151886 83640951 92934390 102227829 111521268 136303772 139401585 167281902 170379715 185868780 204455658 278803170 306683487 334563804 340759430 374835373 408911316 418204755 511139145 557606340 613366974 681518860 749670746 836409510 920050461 1022278290 1124506119 1226733948 1499341492 1533417435 1672819020 1840100922 1874176865 2044556580 2249012238 3066834870 3373518357 3680201844 3748353730 4498024476 4600252305 5622530595 6133669740 6747036714 7496707460 9200504610 10120555071 11245061190 13494073428 16867591785 18401009220 20241110142 22490122380 33735183570 40482220284 50602775355 67470367140 101205550710 202411101420