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21003113111130 = 234597770334703
BaseRepresentation
bin1001100011010001010110…
…00110001001111001011010
32202100212201001202100210000
410301220223012021321122
510223103333424024010
6112400410313233430
74265265502543443
oct461505306117132
982325631670700
1021003113111130
11676840888a447
122432664102876
13b9477b518267
145287add122ca
15266514a857c0
hex131a2b189e5a

21003113111130 has 160 divisors (see below), whose sum is σ = 57066305877504. Its totient is φ = 5542210335744.

The previous prime is 21003113111119. The next prime is 21003113111143. The reversal of 21003113111130 is 3111131130012.

21003113111130 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 311 + 311 + 11 + 30 = 666.

It is a super-2 number, since 2×210031131111302 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605207359 + ... + 605242061.

Almost surely, 221003113111130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003113111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28533152938752).

21003113111130 is an abundant number, since it is smaller than the sum of its proper divisors (36063192766374).

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

21003113111130 is a wasteful number, since it uses less digits than its factorization.

21003113111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42522 (or 42513 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 21003113111130 its reverse (3111131130012), we get a palindrome (24114244241142).

The spelling of 21003113111130 in words is "twenty-one trillion, three billion, one hundred thirteen million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7703 7857 8730 13095 15406 15714 23109 26190 34703 38515 39285 46218 69327 69406 77030 78570 104109 115545 138654 173515 207981 208218 231090 312327 346635 347030 415962 520545 623943 624654 693270 747191 936981 1039905 1041090 1247886 1494382 1561635 1873962 2079810 2241573 2810943 3119715 3123270 3366191 3735955 4483146 4684905 5621886 6239430 6724719 6732382 7471910 9369810 10098573 11207865 13449438 14054715 16830955 20174157 20197146 22415730 28109430 30295719 33623595 33661910 40348314 50492865 60522471 60591438 67247190 90887157 100870785 100985730 121044942 151478595 181774314 201741570 267317209 272661471 302612355 302957190 454435785 534634418 545322942 605224710 801951627 908871570 1336586045 1363307355 1603903254 2405854881 2673172090 2726614710 4009758135 4811709762 7217564643 8019516270 12029274405 14435129286 21652693929 24058548810 25929769273 36087823215 43305387858 51859538546 72175646430 77789307819 108263469645 129648846365 155578615638 216526939290 233367923457 259297692730 388946539095 466735846914 700103770371 777893078190 1166839617285 1400207540742 2100311311113 2333679234570 3500518851855 4200622622226 7001037703710 10501556555565 21003113111130