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101000011010100 = 223523715160258941
BaseRepresentation
bin10110111101101111100101…
…110001110101000000110100
3111020121111200102110022210020
4112331233211301311000310
5101214241010304310400
6554450433045125140
730163003266365556
oct2675574561650064
9436544612408706
10101000011010100
112a1aa956172124
12b3b258b3b97b0
13444834c798027
141ad25d88c34d6
15ba2396ead2a0
hex5bdbe5c75034

101000011010100 has 144 divisors (see below), whose sum is σ = 302112303325056. Its totient is φ = 26031862080000.

The previous prime is 101000011010057. The next prime is 101000011010177. The reversal of 101000011010100 is 1010110000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 28453371 + ... + 31805570.

It is an arithmetic number, because the mean of its divisors is an integer number (2098002106424).

Almost surely, 2101000011010100 is an apocalyptic number.

101000011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000011010100 is an abundant number, since it is smaller than the sum of its proper divisors (201112292314956).

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

101000011010100 is a wasteful number, since it uses less digits than its factorization.

101000011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60259146 (or 60259139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000011010100 its reverse (1010110000101), we get a palindrome (102010121010201).

The spelling of 101000011010100 in words is "one hundred one trillion, eleven million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 151 185 222 300 302 370 444 453 555 604 740 755 906 925 1110 1510 1812 1850 2220 2265 2775 3020 3700 3775 4530 5550 5587 7550 9060 11100 11174 11325 15100 16761 22348 22650 27935 33522 45300 55870 67044 83805 111740 139675 167610 279350 335220 419025 558700 838050 1676100 60258941 120517882 180776823 241035764 301294705 361553646 602589410 723107292 903884115 1205178820 1506473525 1807768230 2229580817 3012947050 3615536460 4459161634 4519420575 6025894100 6688742451 8918323268 9038841150 9099100091 11147904085 13377484902 18077682300 18198200182 22295808170 26754969804 27297300273 33443712255 36396400364 44591616340 45495500455 54594600546 55739520425 66887424510 90991000910 109189201092 111479040850 133774849020 136486501365 167218561275 181982001820 222958081700 227477502275 272973002730 334437122550 336666703367 454955004550 545946005460 668874245100 673333406734 682432506825 909910009100 1010000110101 1346666813468 1364865013650 1683333516835 2020000220202 2729730027300 3366667033670 4040000440404 5050000550505 6733334067340 8416667584175 10100001101010 16833335168350 20200002202020 25250002752525 33666670336700 50500005505050 101000011010100