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121003003202100 = 223521983292548757
BaseRepresentation
bin11011100000110100110101…
…000001011100101000110100
3120212102202220100020221012220
4123200310311001130220310
5111330003122304431400
61105204002352242340
734326115135553355
oct3340646501345064
9525382810227186
10121003003202100
11356120a3847308
12116a3238b403b0
1352696c395b376
1421c48102b3d2c
15dec8748947a0
hex6e0d3505ca34

121003003202100 has 144 divisors (see below), whose sum is σ = 368572835870400. Its totient is φ = 30565497553920.

The previous prime is 121003003202087. The next prime is 121003003202101. The reversal of 121003003202100 is 1202300300121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121003003202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121003003202101) 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, 46200922 + ... + 48749678.

Almost surely, 2121003003202100 is an apocalyptic number.

121003003202100 is a gapful number since it is divisible by the number (10) 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 121003003202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184286417935200).

121003003202100 is an abundant number, since it is smaller than the sum of its proper divisors (247569832668300).

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

121003003202100 is a wasteful number, since it uses less digits than its factorization.

121003003202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557122 (or 2557115 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121003003202100 its reverse (1202300300121), we get a palindrome (122205303502221).

The spelling of 121003003202100 in words is "one hundred twenty-one trillion, three billion, three million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 8329 16658 24987 33316 41645 49974 83290 99948 124935 158251 166580 208225 249870 316502 416450 474753 499740 624675 633004 791255 832900 949506 1249350 1582510 1899012 2373765 2498700 2548757 3165020 3956275 4747530 5097514 7646271 7912550 9495060 10195028 11868825 12743785 15292542 15825100 23737650 25487570 30585084 38231355 47475300 48426383 50975140 63718925 76462710 96852766 127437850 145279149 152925420 191156775 193705532 242131915 254875700 290558298 382313550 484263830 581116596 726395745 764627100 968527660 1210659575 1452791490 2421319150 2905582980 3631978725 4842638300 7263957450 14527914900 21228597053 42457194106 63685791159 84914388212 106142985265 127371582318 212285970530 254743164636 318428955795 403343344007 424571941060 530714926325 636857911590 806686688014 1061429852650 1210030032021 1273715823180 1592144778975 1613373376028 2016716720035 2122859705300 2420060064042 3184289557950 4033433440070 4840120128084 6050150160105 6368579115900 8066866880140 10083583600175 12100300320210 20167167200350 24200600640420 30250750800525 40334334400700 60501501601050 121003003202100