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1002300100320 = 25358923462081
BaseRepresentation
bin11101001010111011011…
…11011100111011100000
310112211010000110121221210
432211131233130323200
5112410202311202240
62044241133350120
7132261634165611
oct16453557347340
93484100417853
101002300100320
11357089305352
12142304338340
137369397754c
1436723addc08
151b113657780
hexe95dbdcee0

1002300100320 has 96 divisors (see below), whose sum is σ = 3192720118560. Its totient is φ = 264276869120.

The previous prime is 1002300100301. The next prime is 1002300100379. The reversal of 1002300100320 is 230010032001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10023001003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002300100296 and 1002300100305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11688321 + ... + 11773760.

It is an arithmetic number, because the mean of its divisors is an integer number (33257501235).

Almost surely, 21002300100320 is an apocalyptic number.

1002300100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002300100320 is an abundant number, since it is smaller than the sum of its proper divisors (2190420018240).

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

1002300100320 is a wasteful number, since it uses less digits than its factorization.

1002300100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23462188 (or 23462180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1002300100320 its reverse (230010032001), we get a palindrome (1232310132321).

The spelling of 1002300100320 in words is "one trillion, two billion, three hundred million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 89 96 120 160 178 240 267 356 445 480 534 712 890 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 7120 8544 10680 14240 21360 42720 23462081 46924162 70386243 93848324 117310405 140772486 187696648 234620810 281544972 351931215 375393296 469241620 563089944 703862430 750786592 938483240 1126179888 1407724860 1876966480 2088125209 2252359776 2815449720 3753932960 4176250418 5630899440 6264375627 8352500836 10440626045 11261798880 12528751254 16705001672 20881252090 25057502508 31321878135 33410003344 41762504180 50115005016 62643756270 66820006688 83525008360 100230010032 125287512540 167050016720 200460020064 250575025080 334100033440 501150050160 1002300100320