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211002001100000 = 255511191820001
BaseRepresentation
bin101111111110011110111011…
…010100101000110011100000
31000200002121001020201011000122
4233332132323110220303200
5210124024044240200000
62024432551531335412
762305251200544005
oct5776367324506340
91020077036634018
10211002001100000
116126049a8a0310
121b7b97272b1568
139097532153b76
143a167a0c5d8ac
15195d9a6277085
hexbfe7bb528ce0

211002001100000 has 144 divisors (see below), whose sum is σ = 566432189425872. Its totient is φ = 76728000000000.

The previous prime is 211002001099997. The next prime is 211002001100017. The reversal of 211002001100000 is 1100200112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94810001 + ... + 97010000.

It is an arithmetic number, because the mean of its divisors is an integer number (3933556871013).

Almost surely, 2211002001100000 is an apocalyptic number.

211002001100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002001100000 is an abundant number, since it is smaller than the sum of its proper divisors (355430188325872).

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

211002001100000 is an equidigital number, since it uses as much as digits as its factorization.

211002001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191820047 (or 191820019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211002001100000 its reverse (1100200112), we get a palindrome (211003101300112).

The spelling of 211002001100000 in words is "two hundred eleven trillion, two billion, one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 191820001 383640002 767280004 959100005 1534560008 1918200010 2110020011 3069120016 3836400020 4220040022 4795500025 6138240032 7672800040 8440080044 9591000050 10550100055 15345600080 16880160088 19182000100 21100200110 23977500125 30691200160 33760320176 38364000200 42200400220 47955000250 52750500275 67520640352 76728000400 84400800440 95910000500 105501000550 119887500625 153456000800 168801600880 191820001000 211002001100 239775001250 263752501375 337603201760 383640002000 422004002200 479550002500 527505002750 599437503125 767280004000 844008004400 959100005000 1055010005500 1198875006250 1318762506875 1688016008800 1918200010000 2110020011000 2397750012500 2637525013750 3836400020000 4220040022000 4795500025000 5275050027500 6593812534375 8440080044000 9591000050000 10550100055000 13187625068750 19182000100000 21100200110000 26375250137500 42200400220000 52750500275000 105501000550000 211002001100000