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11020012120 = 23513157347389
BaseRepresentation
bin10100100001101100…
…00000101001011000
31001110000002121201001
422100312000221120
5140032110341440
65021301034344
7540041362135
oct122066005130
931400077631
1011020012120
114745567237
1221766b59b4
131068113440
147677dd58c
154476e3b9a
hex290d80a58

11020012120 has 128 divisors (see below), whose sum is σ = 27019137600. Its totient is φ = 4020996096.

The previous prime is 11020012111. The next prime is 11020012139. The reversal of 11020012120 is 2121002011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11020012097 and 11020012106.

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, 28328886 + ... + 28329274.

Almost surely, 211020012120 is an apocalyptic number.

11020012120 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 11020012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509568800).

11020012120 is an abundant number, since it is smaller than the sum of its proper divisors (15999125480).

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

11020012120 is a wasteful number, since it uses less digits than its factorization.

11020012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

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

Adding to 11020012120 its reverse (2121002011), we get a palindrome (13141014131).

The spelling of 11020012120 in words is "eleven billion, twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 260 314 347 389 520 628 694 778 785 1256 1388 1556 1570 1735 1945 2041 2776 3112 3140 3470 3890 4082 4511 5057 6280 6940 7780 8164 9022 10114 10205 13880 15560 16328 18044 20228 20410 22555 25285 36088 40456 40820 45110 50570 54479 61073 81640 90220 101140 108958 122146 134983 180440 202280 217916 244292 269966 272395 305365 435832 488584 539932 544790 610730 674915 708227 793949 1079864 1089580 1221460 1349830 1416454 1587898 1754779 2179160 2442920 2699660 2832908 3175796 3509558 3541135 3969745 5399320 5665816 6351592 7019116 7082270 7939490 8773895 14038232 14164540 15878980 17547790 21192331 28329080 31757960 35095580 42384662 70191160 84769324 105961655 169538648 211923310 275500303 423846620 551000606 847693240 1102001212 1377501515 2204002424 2755003030 5510006060 11020012120