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1213011131220 = 2232577113559257
BaseRepresentation
bin10001101001101101000…
…110001111101101010100
311021221222211110001121100
4101221231012033231110
5124333221322144340
62325125530150100
7153431355331140
oct21515506175524
94257884401540
101213011131220
114284871845a9
1217710ab82330
138a504086115
14429d2550220
15218470da830
hex11a6d18fb54

1213011131220 has 144 divisors (see below), whose sum is σ = 4264332403968. Its totient is φ = 273354600960.

The previous prime is 1213011131219. The next prime is 1213011131221. The reversal of 1213011131220 is 221311103121.

1213011131220 is a `hidden beast` number, since 1 + 21 + 301 + 11 + 312 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1213011131219) and next prime (1213011131221).

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 = 1213011131193 and 1213011131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213011131221) 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, 6690169 + ... + 6869088.

It is an arithmetic number, because the mean of its divisors is an integer number (29613419472).

Almost surely, 21213011131220 is an apocalyptic number.

1213011131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213011131220 is an abundant number, since it is smaller than the sum of its proper divisors (3051321272748).

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

1213011131220 is a wasteful number, since it uses less digits than its factorization.

1213011131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559350 (or 13559345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1213011131220 its reverse (221311103121), we get a palindrome (1434322234341).

It can be divided in two parts, 121301 and 1131220, that added together give a palindrome (1252521).

The spelling of 1213011131220 in words is "one trillion, two hundred thirteen billion, eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14910 17892 22365 29820 44730 89460 13559257 27118514 40677771 54237028 67796285 81355542 94914799 122033313 135592570 162711084 189829598 203388855 244066626 271185140 284744397 379659196 406777710 474573995 488133252 569488794 610166565 813555420 854233191 949147990 962707247 1138977588 1220333130 1423721985 1708466382 1898295980 1925414494 2440666260 2847443970 2888121741 3416932764 3850828988 4271165955 4813536235 5694887940 5776243482 6738950729 8542331910 8664365223 9627072470 11552486964 13477901458 14440608705 17084663820 17328730446 19254144940 20216852187 26955802916 28881217410 33694753645 34657460892 40433704374 43321826115 57762434820 60650556561 67389507290 80867408748 86643652230 101084260935 121301113122 134779014580 173287304460 202168521870 242602226244 303252782805 404337043740 606505565610 1213011131220