Search a number
-
+
101230030332030 = 235172319743807163
BaseRepresentation
bin10111000001000101110011…
…111111111010000001111110
3111021102111101212101120100210
4113001011303333322001332
5101232023100231111110
6555144233421333250
730215425343354565
oct2701056377720176
9437374355346323
10101230030332030
112a289462074196
12b42b084407226
134463c49185b92
141add7b97dcbdc
15ba835aac6520
hex5c1173ffa07e

101230030332030 has 128 divisors (see below), whose sum is σ = 269790449753088. Its totient is φ = 24178749765632.

The previous prime is 101230030331981. The next prime is 101230030332037. The reversal of 101230030332030 is 30233030032101.

It is a super-3 number, since 3×1012300303320303 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101230030331988 and 101230030332006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101230030332037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19592772 + ... + 24214391.

It is an arithmetic number, because the mean of its divisors is an integer number (2107737888696).

Almost surely, 2101230030332030 is an apocalyptic number.

101230030332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101230030332030 is an abundant number, since it is smaller than the sum of its proper divisors (168560419421058).

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

101230030332030 is a wasteful number, since it uses less digits than its factorization.

101230030332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43807410.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 101230030332030 its reverse (30233030032101), we get a palindrome (131463060364131).

The spelling of 101230030332030 in words is "one hundred one trillion, two hundred thirty billion, thirty million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 197 230 255 345 391 394 510 591 690 782 985 1173 1182 1955 1970 2346 2955 3349 3910 4531 5865 5910 6698 9062 10047 11730 13593 16745 20094 22655 27186 33490 45310 50235 67965 77027 100470 135930 154054 231081 385135 462162 770270 1155405 2310810 43807163 87614326 131421489 219035815 262842978 438071630 657107445 744721771 1007564749 1314214890 1489443542 2015129498 2234165313 3022694247 3723608855 4468330626 5037823745 6045388494 7447217710 8630011111 10075647490 11170826565 15113471235 17128600733 17260022222 22341653130 25890033333 30226942470 34257201466 43150055555 51385802199 51780066666 85643003665 86300111110 102771604398 129450166665 146710188887 171286007330 198490255553 256929010995 258900333330 293420377774 396980511106 440130566661 513858021990 595470766659 733550944435 880261133322 992451277765 1190941533318 1467101888870 1984902555530 2200652833305 2977353833295 3374334344401 4401305666610 5954707666590 6748668688802 10123003033203 16871671722005 20246006066406 33743343444010 50615015166015 101230030332030