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30203131102300 = 225213491148331907
BaseRepresentation
bin1101101111000001101101…
…11001101000010001011100
310221221101120010200220212101
412313200312321220101130
512424322003030233200
6144123043223414444
76235050513310312
oct667406671502134
9127841503626771
1030203131102300
119695092127802
12347969b5b4424
1313b11b2356080
14765ba72400b2
153759bd08c26a
hex1b7836e6845c

30203131102300 has 144 divisors (see below), whose sum is σ = 70776055792512. Its totient is φ = 11121359558400.

The previous prime is 30203131102283. The next prime is 30203131102343. The reversal of 30203131102300 is 320113130203.

It is a super-2 number, since 2×302031311023002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 946582947 + ... + 946614853.

It is an arithmetic number, because the mean of its divisors is an integer number (491500387448).

Almost surely, 230203131102300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30203131102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35388027896256).

30203131102300 is an abundant number, since it is smaller than the sum of its proper divisors (40572924690212).

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

30203131102300 is a wasteful number, since it uses less digits than its factorization.

30203131102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908 (or 33901 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 30203131102300 its reverse (320113130203), we get a palindrome (30523244232503).

The spelling of 30203131102300 in words is "thirty trillion, two hundred three billion, one hundred thirty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 491 650 982 1300 1483 1964 2455 2966 4910 5932 6383 7415 9820 12275 12766 14830 19279 24550 25532 29660 31907 31915 37075 38558 49100 63814 63830 74150 77116 96395 127628 127660 148300 159535 159575 192790 319070 319150 385580 414791 481975 638140 638300 728153 797675 829582 963950 1456306 1595350 1659164 1927900 2073955 2912612 3190700 3640765 4147910 7281530 8295820 9465989 10369775 14563060 15666337 18203825 18931978 20739550 31332674 36407650 37863956 41479100 47318081 47329945 62665348 72815300 78331685 94636162 94659890 156663370 189272324 189319780 203662381 236590405 236649725 313326740 391658425 407324762 473180810 473299450 615135053 783316850 814649524 946361620 946598900 1018311905 1182952025 1230270106 1566633700 2036623810 2365904050 2460540212 3075675265 4073247620 4731808100 5091559525 6151350530 10183119050 12302701060 15378376325 20366238100 23233177771 30756752650 46466355542 61513505300 92932711084 116165888855 232331777710 302031311023 464663555420 580829444275 604062622046 1161658888550 1208125244092 1510156555115 2323317777100 3020313110230 6040626220460 7550782775575 15101565551150 30203131102300