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101322120003132 = 223731157247835569
BaseRepresentation
bin10111000010011011100100…
…111110000111111000111100
3111021202022002202100120100010
4113002123210332013320330
5101240030200210100012
6555254423410503220
730225165405555660
oct2702334476077074
9437668082316303
10101322120003132
112a314519309096
12b444aa4b94b10
13446c833bba822
141b040340588a0
15baa94a629c3c
hex5c26e4f87e3c

101322120003132 has 96 divisors (see below), whose sum is σ = 280684687790080. Its totient is φ = 27836890997760.

The previous prime is 101322120003107. The next prime is 101322120003179. The reversal of 101322120003132 is 231300021223101.

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 = 101322120003099 and 101322120003108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123508957 + ... + 124326612.

Almost surely, 2101322120003132 is an apocalyptic number.

101322120003132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101322120003132 is an abundant number, since it is smaller than the sum of its proper divisors (179362567786948).

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

101322120003132 is a wasteful number, since it uses less digits than its factorization.

101322120003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247835771 (or 247835769 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101322120003132 its reverse (231300021223101), we get a palindrome (332622141226233).

The spelling of 101322120003132 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twenty million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 157 186 217 314 372 434 471 628 651 868 942 1099 1302 1884 2198 2604 3297 4396 4867 6594 9734 13188 14601 19468 29202 34069 58404 68138 102207 136276 204414 408828 247835569 495671138 743506707 991342276 1487013414 1734848983 2974026828 3469697966 5204546949 6939395932 7682902639 10409093898 15365805278 20818187796 23048707917 30731610556 38910184333 46097415834 53780318473 77820368666 92194831668 107560636946 116730552999 155640737332 161340955419 215121273892 233461105998 272371290331 322681910838 466922211996 544742580662 645363821676 817113870993 1089485161324 1206215714323 1634227741986 2412431428646 3268455483972 3618647142969 4824862857292 7237294285938 8443510000261 14474588571876 16887020000522 25330530000783 33774040001044 50661060001566 101322120003132