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101222122100232 = 23373757077285301
BaseRepresentation
bin10111000000111110011100…
…101000011001011000001000
3111021101201222201122202202210
4113000332130220121120020
5101231410401224201412
6555140445000425120
730215025355453320
oct2700763450313010
9437351881582683
10101222122100232
112a286074085631
12b429637a781a0
134463288963793
141add2693c2280
15ba80466a683c
hex5c0f9ca19608

101222122100232 has 128 divisors (see below), whose sum is σ = 297028688221440. Its totient is φ = 28138376678400.

The previous prime is 101222122100221. The next prime is 101222122100233. The reversal of 101222122100232 is 232001221222101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101222122100199 and 101222122100208.

It is not an unprimeable number, because it can be changed into a prime (101222122100233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354647982 + ... + 354933282.

It is an arithmetic number, because the mean of its divisors is an integer number (2320536626730).

Almost surely, 2101222122100232 is an apocalyptic number.

101222122100232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222122100232 is an abundant number, since it is smaller than the sum of its proper divisors (195806566121208).

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

101222122100232 is a wasteful number, since it uses less digits than its factorization.

101222122100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342431 (or 342427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101222122100232 its reverse (232001221222101), we get a palindrome (333223343322333).

The spelling of 101222122100232 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 57077 114154 171231 228308 285301 342462 399539 456616 570602 684924 799078 855903 1141204 1198617 1369848 1598156 1711806 1997107 2111849 2282408 2397234 3196312 3423612 3994214 4223698 4794468 5991321 6335547 6847224 7988428 8447396 9588936 10556137 11982642 12671094 14782943 15976856 16894792 21112274 23965284 25342188 29565886 31668411 42224548 44348829 47930568 50684376 59131772 63336822 73892959 84449096 88697658 118263544 126673644 147785918 177395316 221678877 253347288 295571836 354790632 443357754 591143672 886715508 1773431016 16284125177 32568250354 48852375531 65136500708 97704751062 113988876239 130273001416 195409502124 227977752478 341966628717 390819004248 455955504956 602512631549 683933257434 911911009912 1205025263098 1367866514868 1807537894647 2410050526196 2735733029736 3615075789294 4217588420843 4820101052392 7230151578588 8435176841686 12652765262529 14460303157176 16870353683372 25305530525058 33740707366744 50611061050116 101222122100232