Search a number
-
+
10121010102312 = 2333779144272581
BaseRepresentation
bin1001001101000111101100…
…1101100100000000101000
31022211120002121002101012120
42103101323031210000220
52311310312041233222
633305310003311240
72063135031264354
oct223217315440050
938746077071176
1010121010102312
113252329391a3a
12117562997b520
1358553a6a9065
1426dc06692464
1512840d92315c
hex9347b364028

10121010102312 has 64 divisors (see below), whose sum is σ = 26315318956800. Its totient is φ = 3240939237120.

The previous prime is 10121010102311. The next prime is 10121010102367. The reversal of 10121010102312 is 21320101012101.

It is a super-2 number, since 2×101210101023122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121010102291 and 10121010102300.

It is not an unprimeable number, because it can be changed into a prime (10121010102311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72066139 + ... + 72206442.

It is an arithmetic number, because the mean of its divisors is an integer number (411176858700).

Almost surely, 210121010102312 is an apocalyptic number.

10121010102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121010102312 is an abundant number, since it is smaller than the sum of its proper divisors (16194308854488).

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

10121010102312 is a wasteful number, since it uses less digits than its factorization.

10121010102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144272706 (or 144272702 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121010102312 its reverse (21320101012101), we get a palindrome (31441111114413).

The spelling of 10121010102312 in words is "ten trillion, one hundred twenty-one billion, ten million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1896 2923 5846 8769 11692 17538 23384 35076 70152 144272581 288545162 432817743 577090324 865635486 1154180648 1731270972 3462541944 5338085497 10676170994 11397533899 16014256491 21352341988 22795067798 32028512982 34192601697 42704683976 45590135596 64057025964 68385203394 91180271192 128114051928 136770406788 273540813576 421708754263 843417508526 1265126262789 1686835017052 2530252525578 3373670034104 5060505051156 10121010102312