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20221102000 = 2453112933137
BaseRepresentation
bin10010110101010001…
…011000011110110000
31221012020120102011201
4102311101120132300
5312403100231000
613142304220544
71314045350101
oct226521303660
957166512151
1020221102000
118637315250
123b0400a754
131ba343cb18
14d9b7dc3a8
157d539296a
hex4b54587b0

20221102000 has 160 divisors (see below), whose sum is σ = 53538698304. Its totient is φ = 7325696000.

The previous prime is 20221101997. The next prime is 20221102001. The reversal of 20221102000 is 20112202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20221102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6444432 + ... + 6447568.

Almost surely, 220221102000 is an apocalyptic number.

20221102000 is a gapful number since it is divisible by the number (20) 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 20221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769349152).

20221102000 is an abundant number, since it is smaller than the sum of its proper divisors (33317596304).

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

20221102000 is a wasteful number, since it uses less digits than its factorization.

20221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20221102000 its reverse (20112202), we get a palindrome (20241214202).

It can be divided in two parts, 20221 and 102000, that added together give a palindrome (122221).

The spelling of 20221102000 in words is "twenty billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 293 400 440 500 550 586 880 1000 1100 1172 1375 1465 2000 2200 2344 2750 2930 3137 3223 4400 4688 5500 5860 6274 6446 7325 11000 11720 12548 12892 14650 15685 16115 22000 23440 25096 25784 29300 31370 32230 34507 36625 50192 51568 58600 62740 64460 69014 73250 78425 80575 117200 125480 128920 138028 146500 156850 161150 172535 250960 257840 276056 293000 313700 322300 345070 392125 402875 552112 586000 627400 644600 690140 784250 805750 862675 919141 1254800 1289200 1380280 1568500 1611500 1725350 1838282 2760560 3137000 3223000 3450700 3676564 4313375 4595705 6274000 6446000 6901400 7353128 8626750 9191410 10110551 13802800 14706256 17253500 18382820 20221102 22978525 34507000 36765640 40442204 45957050 50552755 69014000 73531280 80884408 91914100 101105510 114892625 161768816 183828200 202211020 229785250 252763775 367656400 404422040 459570500 505527550 808844080 919141000 1011055100 1263818875 1838282000 2022110200 2527637750 4044220400 5055275500 10110551000 20221102000