Search a number
-
+
1002949342200 = 2332521342861083
BaseRepresentation
bin11101001100001000111…
…00000111001111111000
310112212210021010112101100
432212010130013033320
5112413020012422300
62044425405051400
7132314006514231
oct16460434071770
93485707115340
101002949342200
11357391836393
12142465856b60
1373768324440
1436786024088
151b150650700
hexe9847073f8

1002949342200 has 144 divisors (see below), whose sum is σ = 3627333538920. Its totient is φ = 246879832320.

The previous prime is 1002949342169. The next prime is 1002949342217. The reversal of 1002949342200 is 22439492001.

1002949342200 is a `hidden beast` number, since 1 + 0 + 0 + 294 + 9 + 342 + 20 + 0 = 666.

1002949342200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21407142 + ... + 21453941.

Almost surely, 21002949342200 is an apocalyptic number.

1002949342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002949342200 is an abundant number, since it is smaller than the sum of its proper divisors (2624384196720).

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

1002949342200 is a wasteful number, since it uses less digits than its factorization.

1002949342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42861118 (or 42861106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1002949342200 in words is "one trillion, two billion, nine hundred forty-nine million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 42861083 85722166 128583249 171444332 214305415 257166498 342888664 385749747 428610830 514332996 557194079 642916245 771499494 857221660 1028665992 1071527075 1114388158 1285832490 1542998988 1671582237 1714443320 1928748735 2143054150 2228776316 2571664980 2785970395 3085997976 3214581225 3343164474 3857497470 4286108300 4457552632 5014746711 5143329960 5571940790 6429162450 6686328948 7714994940 8357911185 8572216600 9643743675 10029493422 11143881580 12858324900 13372657896 13929851975 15429989880 16715822370 19287487350 20058986844 22287763160 25073733555 25716649800 27859703950 33431644740 38574974700 40117973688 41789555925 50147467110 55719407900 66863289480 77149949400 83579111850 100294934220 111438815800 125368667775 167158223700 200589868440 250737335550 334316447400 501474671100 1002949342200