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1220100002000 = 245311109508799
BaseRepresentation
bin10001110000010011101…
…000001001000011010000
311022122021212102000011222
4101300103220021003100
5124442231100031000
62332301201224212
7154102133620655
oct21602350110320
94278255360158
101220100002000
114304947090a0
12178569032068
138b093907009
14430a5c01c2c
1521b0e60ba85
hex11c13a090d0

1220100002000 has 160 divisors (see below), whose sum is σ = 3247934976000. Its totient is φ = 439601472000.

The previous prime is 1220100001987. The next prime is 1220100002083. The reversal of 1220100002000 is 2000010221.

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 31 ways as a sum of consecutive naturals, for example, 2143601 + ... + 2652399.

It is an arithmetic number, because the mean of its divisors is an integer number (20299593600).

Almost surely, 21220100002000 is an apocalyptic number.

1220100002000 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 1220100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623967488000).

1220100002000 is an abundant number, since it is smaller than the sum of its proper divisors (2027834974000).

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

1220100002000 is a wasteful number, since it uses less digits than its factorization.

1220100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508942 (or 508926 counting only the distinct ones).

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

Adding to 1220100002000 its reverse (2000010221), we get a palindrome (1222100012221).

The spelling of 1220100002000 in words is "one trillion, two hundred twenty billion, one hundred million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 125 176 200 218 220 250 275 400 436 440 500 545 550 872 880 1000 1090 1100 1199 1375 1744 2000 2180 2200 2398 2725 2750 4360 4400 4796 5450 5500 5995 8720 9592 10900 11000 11990 13625 19184 21800 22000 23980 27250 29975 43600 47960 54500 59950 95920 109000 119900 149875 218000 239800 299750 479600 508799 599500 1017598 1199000 2035196 2398000 2543995 4070392 5087990 5596789 8140784 10175980 11193578 12719975 20351960 22387156 25439950 27983945 40703920 44774312 50879900 55459091 55967890 63599875 89548624 101759800 110918182 111935780 127199750 139919725 203519600 221836364 223871560 254399500 277295455 279839450 443672728 447743120 508799000 554590910 559678900 610050001 699598625 887345456 1017598000 1109181820 1119357800 1220100002 1386477275 1399197250 2218363640 2238715600 2440200004 2772954550 2798394500 3050250005 4436727280 4880400008 5545909100 5596789000 6100500010 6932386375 9760800016 11091818200 11193578000 12201000020 13864772750 15251250025 22183636400 24402000040 27729545500 30502500050 48804000080 55459091000 61005000100 76256250125 110918182000 122010000200 152512500250 244020000400 305025000500 610050001000 1220100002000