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100320852688 = 2477389137867
BaseRepresentation
bin101110101101110010…
…1101011101011010000
3100120221112101100101121
41131123211223223100
53120424114241223
6114030424012024
710151021115040
oct1353345535320
9316845340347
10100320852688
1139600562511
1217539301014
1395ca12bac4
144bd9901720
1529224b715d
hex175b96bad0

100320852688 has 80 divisors (see below), whose sum is σ = 227713818240. Its totient is φ = 41928910848.

The previous prime is 100320852677. The next prime is 100320852703. The reversal of 100320852688 is 886258023001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658731 + ... + 796597.

It is an arithmetic number, because the mean of its divisors is an integer number (2846422728).

Almost surely, 2100320852688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320852688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113856909120).

100320852688 is an abundant number, since it is smaller than the sum of its proper divisors (127392965552).

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

100320852688 is a wasteful number, since it uses less digits than its factorization.

100320852688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138044 (or 138038 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

Adding to 100320852688 its reverse (886258023001), we get a palindrome (986578875689).

The spelling of 100320852688 in words is "one hundred billion, three hundred twenty million, eight hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 73 89 112 146 178 292 356 511 584 623 712 1022 1168 1246 1424 2044 2492 4088 4984 6497 8176 9968 12994 25988 45479 51976 90958 103952 137867 181916 275734 363832 551468 727664 965069 1102936 1930138 2205872 3860276 7720552 10064291 12270163 15441104 20128582 24540326 40257164 49080652 70450037 80514328 85891141 98161304 140900074 161028656 171782282 196322608 281800148 343564564 563600296 687129128 895721899 1127200592 1374258256 1791443798 3582887596 6270053293 7165775192 12540106586 14331550384 25080213172 50160426344 100320852688