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101196236213956 = 22132372104572
BaseRepresentation
bin10111000000100110010101…
…101101100100111011000100
3111021022021011200210111110001
4113000212111231210323010
5101230444342432321311
6555120524212211044
730213121033165162
oct2700462555447304
9437267150714401
10101196236213956
112a2760a0187094
12b424612909a84
1344609c1a35a00
141adbcd1514232
15ba752dd444c1
hex5c0995b64ec4

101196236213956 has 81 divisors (see below), whose sum is σ = 197105606079669. Its totient is φ = 45439286300928.

The previous prime is 101196236213899. The next prime is 101196236213959. The reversal of 101196236213956 is 659312632691101.

The square root of 101196236213956 is 10059634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6180842376900 + 95015393837056 = 2486130^2 + 9747584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101196236213897 and 101196236213906.

It is not an unprimeable number, because it can be changed into a prime (101196236213959) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9677362680 + ... + 9677373136.

Almost surely, 2101196236213956 is an apocalyptic number.

101196236213956 is the 10059634-th square number.

It is an amenable number.

101196236213956 is a deficient number, since it is larger than the sum of its proper divisors (95909369865713).

101196236213956 is an frugal number, since it uses more digits than its factorization.

101196236213956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21018 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 55.

The spelling of 101196236213956 in words is "one hundred one trillion, one hundred ninety-six billion, two hundred thirty-six million, two hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 676 962 1369 1924 2738 5476 6253 10457 12506 17797 20914 25012 35594 41828 71188 135941 231361 271882 386909 462722 543764 773818 925444 1547636 1767233 3534466 5029817 7068932 10059634 14315633 20119268 28631266 57262532 65387621 109348849 130775242 186103229 218697698 261550484 372206458 437395396 744412916 1421535037 2419341977 2843070074 4045907413 4838683954 5686140148 8091814826 9677367908 16183629652 18479955481 36959910962 52596796369 73919821924 105193592738 149698574281 210387185476 299397148562 598794297124 683758352797 1367516705594 1946081465653 2735033411188 3892162931306 7784325862612 25299059053489 50598118106978 101196236213956