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2130113003220 = 22325471391811413
BaseRepresentation
bin11110111111110100101…
…000001111111011010100
321112122012020102020212100
4132333310220033323110
5234344432412100340
64310321014122100
7306616120532616
oct36776450177324
97478166366770
102130113003220
11751415292a04
122a49b6650330
13125b3a9831c7
1475152d72db6
153a620c13830
hex1eff4a0fed4

2130113003220 has 144 divisors (see below), whose sum is σ = 6646295335680. Its totient is φ = 551944482048.

The previous prime is 2130113003209. The next prime is 2130113003231. The reversal of 2130113003220 is 223003110312.

2130113003220 is a `hidden beast` number, since 2 + 1 + 30 + 11 + 300 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2130113003209) and next prime (2130113003231).

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 = 2130113003193 and 2130113003202.

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, 270234 + ... + 2081646.

It is an arithmetic number, because the mean of its divisors is an integer number (46154828720).

Almost surely, 22130113003220 is an apocalyptic number.

2130113003220 is a gapful number since it is divisible by the number (20) 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 2130113003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323147667840).

2130113003220 is an abundant number, since it is smaller than the sum of its proper divisors (4516182332460).

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

2130113003220 is a wasteful number, since it uses less digits than its factorization.

2130113003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811614 (or 1811609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2130113003220 its reverse (223003110312), we get a palindrome (2353116113532).

The spelling of 2130113003220 in words is "two trillion, one hundred thirty billion, one hundred thirteen million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 139 141 180 188 235 278 282 417 423 470 556 564 695 705 834 846 940 1251 1390 1410 1668 1692 2085 2115 2502 2780 2820 4170 4230 5004 6255 6533 8340 8460 12510 13066 19599 25020 26132 32665 39198 58797 65330 78396 97995 117594 130660 195990 235188 293985 391980 587970 1175940 1811413 3622826 5434239 7245652 9057065 10868478 16302717 18114130 21736956 27171195 32605434 36228260 54342390 65210868 81513585 85136411 108684780 163027170 170272822 251786407 255409233 326054340 340545644 425682055 503572814 510818466 755359221 766227699 851364110 1007145628 1021636932 1258932035 1277046165 1510718442 1532455398 1702728220 2266077663 2517864070 2554092330 3021436884 3064910796 3776796105 3831138495 4532155326 5035728140 5108184660 7553592210 7662276990 9064310652 11330388315 11833961129 15107184420 15324553980 22660776630 23667922258 35501883387 45321553260 47335844516 59169805645 71003766774 106505650161 118339611290 142007533548 177509416935 213011300322 236679222580 355018833870 426022600644 532528250805 710037667740 1065056501610 2130113003220