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30302120301000 = 2335347512126017
BaseRepresentation
bin1101110001111010000110…
…00111011101000111001000
310222021212001212100020101220
412320331003013131013020
512432432220244113000
6144240334001442040
76245153534520252
oct670750307350710
9128255055306356
1030302120301000
119723069a31929
123494906940320
1313ba629616122
1476a8b7d40cd2
153783636b01a0
hex1b8f431dd1c8

30302120301000 has 128 divisors (see below), whose sum is σ = 94562559336960. Its totient is φ = 8078860800000.

The previous prime is 30302120300989. The next prime is 30302120301059. The reversal of 30302120301000 is 10302120303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13189992 + ... + 15316008.

It is an arithmetic number, because the mean of its divisors is an integer number (738769994820).

Almost surely, 230302120301000 is an apocalyptic number.

30302120301000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30302120301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47281279668480).

30302120301000 is an abundant number, since it is smaller than the sum of its proper divisors (64260439035960).

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

30302120301000 is a wasteful number, since it uses less digits than its factorization.

30302120301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130792 (or 2130778 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30302120301000 its reverse (10302120303), we get a palindrome (30312422421303).

The spelling of 30302120301000 in words is "thirty trillion, three hundred two billion, one hundred twenty million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4751 9502 14253 19004 23755 28506 38008 47510 57012 71265 95020 114024 118775 142530 190040 237550 285060 356325 475100 570120 593875 712650 950200 1187750 1425300 1781625 2126017 2375500 2850600 3563250 4252034 4751000 6378051 7126500 8504068 10630085 12756102 14253000 17008136 21260170 25512204 31890255 42520340 51024408 53150425 63780510 85040680 106300850 127561020 159451275 212601700 255122040 265752125 318902550 425203400 531504250 637805100 797256375 1063008500 1275610200 1594512750 2126017000 3189025500 6378051000 10100706767 20201413534 30302120301 40402827068 50503533835 60604240602 80805654136 101007067670 121208481204 151510601505 202014135340 242416962408 252517669175 303021203010 404028270680 505035338350 606042406020 757553007525 1010070676700 1212084812040 1262588345875 1515106015050 2020141353400 2525176691750 3030212030100 3787765037625 5050353383500 6060424060200 7575530075250 10100706767000 15151060150500 30302120301000