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100203010021300 = 225219712777267481
BaseRepresentation
bin10110110010001001010100…
…110100010101011110110100
3111010210022111001111010202111
4112302021110310111132310
5101113211231031140200
6553040343300020404
730051266666640454
oct2662112464253664
9433708431433674
10100203010021300
1129a2294896298a
12b2a4021391704
1343bb145c47ac4
141aa5bcc987d64
15b8b79c1170ba
hex5b2254d157b4

100203010021300 has 144 divisors (see below), whose sum is σ = 232192949950080. Its totient is φ = 37423233792000.

The previous prime is 100203010021259. The next prime is 100203010021307. The reversal of 100203010021300 is 3120010302001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203010021307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374483560 + ... + 374751040.

It is an arithmetic number, because the mean of its divisors is an integer number (1612451041320).

Almost surely, 2100203010021300 is an apocalyptic number.

100203010021300 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 100203010021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116096474975040).

100203010021300 is an abundant number, since it is smaller than the sum of its proper divisors (131989939928780).

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

100203010021300 is a wasteful number, since it uses less digits than its factorization.

100203010021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270362 (or 270355 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100203010021300 its reverse (3120010302001), we get a palindrome (103323020323301).

The spelling of 100203010021300 in words is "one hundred trillion, two hundred three billion, ten million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 190 284 355 380 475 710 950 1349 1420 1775 1900 2698 2777 3550 5396 5554 6745 7100 11108 13490 13885 26980 27770 33725 52763 55540 67450 69425 105526 134900 138850 197167 211052 263815 267481 277700 394334 527630 534962 788668 985835 1055260 1069924 1319075 1337405 1971670 2638150 2674810 3746173 3943340 4929175 5082139 5276300 5349620 6687025 7492346 9858350 10164278 13374050 14984692 18730865 18991151 19716700 20328556 25410695 26748100 37461730 37982302 50821390 74923460 75964604 93654325 94955755 101642780 127053475 187308650 189911510 254106950 360831869 374617300 379823020 474778775 508213900 721663738 742794737 949557550 1443327476 1485589474 1804159345 1899115100 2971178948 3608318690 3713973685 7216637380 7427947370 9020796725 14113100003 14855894740 18041593450 18569868425 28226200006 36083186900 37139736850 52738426327 56452400012 70565500015 74279473700 105476852654 141131000030 210953705308 263692131635 282262000060 352827500075 527384263270 705655000150 1002030100213 1054768526540 1318460658175 1411310000300 2004060200426 2636921316350 4008120400852 5010150501065 5273842632700 10020301002130 20040602004260 25050752505325 50101505010650 100203010021300