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11512031220 = 223251927112421
BaseRepresentation
bin10101011100010101…
…11010011111110100
31002201021220210000200
422232022322133310
5142034034444340
65142154440500
7555164436144
oct125612723764
932637823020
1011512031220
114978272498
122293433130
1311160329c1
147b2cb8924
154759d2330
hex2ae2ba7f4

11512031220 has 144 divisors (see below), whose sum is σ = 36896321280. Its totient is φ = 2897337600.

The previous prime is 11512031213. The next prime is 11512031221. The reversal of 11512031220 is 2213021511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11512031193 and 11512031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11512031221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920610 + ... + 933030.

Almost surely, 211512031220 is an apocalyptic number.

11512031220 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 11512031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448160640).

11512031220 is an abundant number, since it is smaller than the sum of its proper divisors (25384290060).

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

11512031220 is a wasteful number, since it uses less digits than its factorization.

11512031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11512031220 its reverse (2213021511), we get a palindrome (13725052731).

The spelling of 11512031220 in words is "eleven billion, five hundred twelve million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 271 285 342 380 542 570 684 813 855 1084 1140 1355 1626 1710 2439 2710 3252 3420 4065 4878 5149 5420 8130 9756 10298 12195 12421 15447 16260 20596 24390 24842 25745 30894 37263 46341 48780 49684 51490 61788 62105 74526 77235 92682 102980 111789 124210 149052 154470 185364 186315 223578 231705 235999 248420 308940 372630 447156 463410 471998 558945 707997 745260 926820 943996 1117890 1179995 1415994 2123991 2235780 2359990 2831988 3366091 3539985 4247982 4719980 6732182 7079970 8495964 10098273 10619955 13464364 14159940 16830455 20196546 21239910 30294819 33660910 40393092 42479820 50491365 60589638 63955729 67321820 100982730 121179276 127911458 151474095 191867187 201965460 255822916 302948190 319778645 383734374 575601561 605896380 639557290 767468748 959335935 1151203122 1279114580 1918671870 2302406244 2878007805 3837343740 5756015610 11512031220