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102303113101100 = 225235337312236353
BaseRepresentation
bin10111010000101101001100…
…101101110011111100101100
3111102020002012211221022212122
4113100231030231303330230
5101402113233423213400
61001325222405252112
730356104340404322
oct2720551455637454
9442202184838778
10102303113101100
112a66256334418a
12b583041704038
1345111b0470172
141b396d604bd12
15bc62133e1685
hex5d0b4cb73f2c

102303113101100 has 144 divisors (see below), whose sum is σ = 223441185223872. Its totient is φ = 40656247357440.

The previous prime is 102303113101081. The next prime is 102303113101139. The reversal of 102303113101100 is 1101311303201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16103115524 + ... + 16103121876.

It is an arithmetic number, because the mean of its divisors is an integer number (1551674897388).

Almost surely, 2102303113101100 is an apocalyptic number.

102303113101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102303113101100 is an abundant number, since it is smaller than the sum of its proper divisors (121138072122772).

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

102303113101100 is a wasteful number, since it uses less digits than its factorization.

102303113101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 102303113101100 its reverse (1101311303201), we get a palindrome (103404424404301).

The spelling of 102303113101100 in words is "one hundred two trillion, three hundred three billion, one hundred thirteen million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 353 373 706 746 1223 1412 1492 1765 1865 2446 3530 3730 4892 6115 6353 7060 7460 8825 9325 12230 12706 17650 18650 24460 25412 30575 31765 35300 37300 61150 63530 122300 127060 131669 158825 263338 317650 431719 456179 526676 635300 658345 863438 912358 1316690 1726876 1824716 2158595 2242609 2280895 2369669 2633380 3291725 4317190 4485218 4561790 4739338 6583450 7769719 8634380 8970436 9123580 9478676 10792975 11213045 11404475 11848345 13166900 15539438 21585950 22426090 22808950 23696690 31078876 38848595 43171900 44852180 45617900 47393380 56065225 59241725 77697190 112130450 118483450 155394380 161031187 194242975 224260900 236966900 322062374 388485950 644124748 776971900 805155935 836493157 1610311870 1672986314 2742710807 2898105187 3220623740 3345972628 4025779675 4182465785 5485421614 5796210374 8051559350 8364931570 10970843228 11592420748 13713554035 14490525935 16103118700 16729863140 20912328925 27427108070 28981051870 41824657850 54854216140 57962103740 68567770175 72452629675 83649315700 137135540350 144905259350 274271080700 289810518700 1023031131011 2046062262022 4092124524044 5115155655055 10230311310110 20460622620220 25575778275275 51151556550550 102303113101100