Search a number
-
+
101203132102200 = 23325271569785591
BaseRepresentation
bin10111000000101100110000…
…101111010011011000111000
3111021022220222021121220202100
4113000230300233103120320
5101231103003304232300
6555124024351103400
730213453646235502
oct2700546057233070
9437286867556670
10101203132102200
112a279009790a87
12b425a18211b60
1344615505b875b
141adc3872ccd72
15ba77d4445700
hex5c0b30bd3638

101203132102200 has 144 divisors (see below), whose sum is σ = 339879033514800. Its totient is φ = 26987090457600.

The previous prime is 101203132102187. The next prime is 101203132102213. The reversal of 101203132102200 is 2201231302101.

101203132102200 is a `hidden beast` number, since 1 + 0 + 120 + 3 + 1 + 321 + 0 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101203132102187) and next prime (101203132102213).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128431405 + ... + 129216995.

It is an arithmetic number, because the mean of its divisors is an integer number (2360271066075).

Almost surely, 2101203132102200 is an apocalyptic number.

101203132102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101203132102200 is an abundant number, since it is smaller than the sum of its proper divisors (238675901412600).

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

101203132102200 is a wasteful number, since it uses less digits than its factorization.

101203132102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857182 (or 857170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101203132102200 its reverse (2201231302101), we get a palindrome (103404363404301).

The spelling of 101203132102200 in words is "one hundred one trillion, two hundred three billion, one hundred thirty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 71569 143138 214707 286276 357845 429414 572552 644121 715690 785591 858828 1073535 1288242 1431380 1571182 1717656 1789225 2147070 2356773 2576484 2862760 3142364 3220605 3578450 3927955 4294140 4713546 5152968 5367675 6284728 6441210 7070319 7156900 7855910 8588280 9427092 10735350 11783865 12882420 14140638 14313800 15711820 16103025 18854184 19639775 21470700 23567730 25764840 28281276 31423640 32206050 35351595 39279550 42941400 47135460 56562552 58919325 64412100 70703190 78559100 94270920 117838650 128824200 141406380 157118200 176757975 235677300 282812760 353515950 471354600 707031900 1414063800 56223962279 112447924558 168671886837 224895849116 281119811395 337343773674 449791698232 506015660511 562239622790 674687547348 843359434185 1012031321022 1124479245580 1349375094696 1405599056975 1686718868370 2024062642044 2248958491160 2530078302555 2811198113950 3373437736740 4048125284088 4216797170925 5060156605110 5622396227900 6746875473480 8433594341850 10120313210220 11244792455800 12650391512775 16867188683700 20240626420440 25300783025550 33734377367400 50601566051100 101203132102200