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10221150000 = 2435568141
BaseRepresentation
bin10011000010011101…
…00101111100110000
3222101022220012220010
421201032211330300
5131413103300000
64410122414520
7511201225065
oct114116457460
928338805803
1010221150000
114375633306
121b93061440
13c6b76b469
146cd68cc6c
153ec4e3d50
hex2613a5f30

10221150000 has 120 divisors (see below), whose sum is σ = 33004168848. Its totient is φ = 2725600000.

The previous prime is 10221149999. The next prime is 10221150041. The reversal of 10221150000 is 5112201.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 115930 + ... + 184070.

Almost surely, 210221150000 is an apocalyptic number.

10221150000 is a gapful number since it is divisible by the number (10) 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 10221150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502084424).

10221150000 is an abundant number, since it is smaller than the sum of its proper divisors (22783018848).

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

10221150000 is an frugal number, since it uses more digits than its factorization.

10221150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68177 (or 68151 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 10221150000 its reverse (5112201), we get a palindrome (10226262201).

The spelling of 10221150000 in words is "ten billion, two hundred twenty-one million, one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 68141 75000 136282 150000 204423 272564 340705 408846 545128 681410 817692 1022115 1090256 1362820 1635384 1703525 2044230 2725640 3270768 3407050 4088460 5110575 5451280 6814100 8176920 8517625 10221150 13628200 16353840 17035250 20442300 25552875 27256400 34070500 40884600 42588125 51105750 68141000 81769200 85176250 102211500 127764375 136282000 170352500 204423000 212940625 255528750 340705000 408846000 425881250 511057500 638821875 681410000 851762500 1022115000 1277643750 1703525000 2044230000 2555287500 3407050000 5110575000 10221150000