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100111010220 = 223251393745659
BaseRepresentation
bin101110100111100010…
…1001100100110101100
3100120101220112020122100
41131033011030212230
53120011404311340
6113553530215100
710142562355314
oct1351705144654
9316356466570
10100111010220
1139503067791
121749ab84490
139595809870
144bb9aba444
15290dd66830
hex174f14c9ac

100111010220 has 144 divisors (see below), whose sum is σ = 327385487520. Its totient is φ = 24615871488.

The previous prime is 100111010177. The next prime is 100111010239. The reversal of 100111010220 is 22010111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169751 + ... + 2215409.

It is an arithmetic number, because the mean of its divisors is an integer number (2273510330).

Almost surely, 2100111010220 is an apocalyptic number.

100111010220 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 100111010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163692743760).

100111010220 is an abundant number, since it is smaller than the sum of its proper divisors (227274477300).

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

100111010220 is a wasteful number, since it uses less digits than its factorization.

100111010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46624 (or 46619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100111010220 its reverse (22010111001), we get a palindrome (122121121221).

The spelling of 100111010220 in words is "one hundred billion, one hundred eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 937 1170 1874 2340 2811 3748 4685 5622 8433 9370 11244 12181 14055 16866 18740 24362 28110 33732 36543 42165 45659 48724 56220 60905 73086 84330 91318 109629 121810 136977 146172 168660 182636 182715 219258 228295 243620 273954 365430 410931 438516 456590 547908 548145 593567 684885 730860 821862 913180 1096290 1187134 1369770 1643724 1780701 2054655 2192580 2374268 2739540 2967835 3561402 4109310 5342103 5935670 7122804 8218620 8903505 10684206 11871340 17807010 21368412 26710515 35614020 42782483 53421030 85564966 106842060 128347449 171129932 213912415 256694898 385042347 427824830 513389796 556172279 641737245 770084694 855649660 1112344558 1283474490 1540169388 1668516837 1925211735 2224689116 2566948980 2780861395 3337033674 3850423470 5005550511 5561722790 6674067348 7700846940 8342584185 10011101022 11123445580 16685168370 20022202044 25027752555 33370336740 50055505110 100111010220