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1100202121000 = 235331259313687
BaseRepresentation
bin10000000000101001001…
…010000001011100101000
310220011210222101120121201
4100000221022001130220
5121011203220333000
62201231553413544
7142326014504413
oct20005112013450
93804728346551
101100202121000
11394658462544
1215928756a2b4
137c996925ab8
143b37027cb7a
151d9435c896a
hex10029281728

1100202121000 has 128 divisors (see below), whose sum is σ = 2658739599360. Its totient is φ = 425689344000.

The previous prime is 1100202120973. The next prime is 1100202121013. The reversal of 1100202121000 is 1212020011.

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

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, 80376157 + ... + 80389843.

It is an arithmetic number, because the mean of its divisors is an integer number (20771403120).

Almost surely, 21100202121000 is an apocalyptic number.

1100202121000 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 1100202121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329369799680).

1100202121000 is an abundant number, since it is smaller than the sum of its proper divisors (1558537478360).

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

1100202121000 is a wasteful number, since it uses less digits than its factorization.

1100202121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16332 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100202121000 its reverse (1212020011), we get a palindrome (1101414141011).

The spelling of 1100202121000 in words is "one trillion, one hundred billion, two hundred two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 2593 3100 3875 5186 6200 7750 10372 12965 13687 15500 20744 25930 27374 31000 51860 54748 64825 68435 80383 103720 109496 129650 136870 160766 259300 273740 321532 324125 342175 401915 424297 518600 547480 643064 648250 684350 803830 848594 1296500 1368700 1607660 1697188 1710875 2009575 2121485 2593000 2737400 3215320 3394376 3421750 4019150 4242970 6843500 8038300 8485940 10047875 10607425 13687000 16076600 16971880 20095750 21214850 35490391 40191500 42429700 53037125 70980782 80383000 84859400 106074250 141961564 177451955 212148500 283923128 354903910 424297000 709807820 887259775 1100202121 1419615640 1774519550 2200404242 3549039100 4400808484 4436298875 5501010605 7098078200 8801616968 8872597750 11002021210 17745195500 22004042420 27505053025 35490391000 44008084840 55010106050 110020212100 137525265125 220040424200 275050530250 550101060500 1100202121000