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11020102100 = 2252717979547
BaseRepresentation
bin10100100001101100…
…10110100111010100
31001110000021012010122
422100312112213110
5140032121231400
65021303011112
7540042215360
oct122066264724
931400235118
1011020102100
1147456188a7
122176739a98
131068145397
147678242a0
15447710685
hex290d969d4

11020102100 has 144 divisors (see below), whose sum is σ = 29238878592. Its totient is φ = 3519037440.

The previous prime is 11020102097. The next prime is 11020102129. The reversal of 11020102100 is 120102011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149527 + ... + 1159073.

It is an arithmetic number, because the mean of its divisors is an integer number (203047768).

Almost surely, 211020102100 is an apocalyptic number.

11020102100 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 11020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619439296).

11020102100 is an abundant number, since it is smaller than the sum of its proper divisors (18218776492).

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

11020102100 is a wasteful number, since it uses less digits than its factorization.

11020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9675 counting only the distinct ones).

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

Adding to 11020102100 its reverse (120102011), we get a palindrome (11140204111).

The spelling of 11020102100 in words is "eleven billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 97 100 119 140 170 175 194 238 340 350 388 425 476 485 595 679 700 850 970 1190 1358 1649 1700 1940 2380 2425 2716 2975 3298 3395 4850 5950 6596 6790 8245 9547 9700 11543 11900 13580 16490 16975 19094 23086 32980 33950 38188 41225 46172 47735 57715 66829 67900 82450 95470 115430 133658 162299 164900 190940 230860 238675 267316 288575 324598 334145 477350 577150 649196 668290 811495 926059 954700 1136093 1154300 1336580 1622990 1670725 1852118 2272186 3245980 3341450 3704236 4057475 4544372 4630295 5680465 6482413 6682900 8114950 9260590 11360930 12964826 15743003 16229900 18521180 22721860 23151475 25929652 28402325 31486006 32412065 46302950 56804650 62972012 64824130 78715015 92605900 110201021 113609300 129648260 157430030 162060325 220402042 314860060 324120650 393575075 440804084 551005105 648241300 787150150 1102010210 1574300300 2204020420 2755025525 5510051050 11020102100