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10217210157 = 34721119109113
BaseRepresentation
bin10011000001111111…
…00100000100101101
3222101001111001110000
421200333210010231
5131411101211112
64405502134513
7511122565500
oct114077440455
928331431400
1010217210157
114373392240
121b91881439
13c6a9bc0ab
146ccd45137
153ebeb67dc
hex260fe412d

10217210157 has 240 divisors, whose sum is σ = 20757211200. Its totient is φ = 4938071040.

The previous prime is 10217210153. The next prime is 10217210219. The reversal of 10217210157 is 75101271201.

It is not a de Polignac number, because 10217210157 - 22 = 10217210153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10217210157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217210153) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90417733 + ... + 90417845.

It is an arithmetic number, because the mean of its divisors is an integer number (86488380).

Almost surely, 210217210157 is an apocalyptic number.

It is an amenable number.

10217210157 is an abundant number, since it is smaller than the sum of its proper divisors (10540001043).

10217210157 is a wasteful number, since it uses less digits than its factorization.

10217210157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

Adding to 10217210157 its reverse (75101271201), we get a palindrome (85318481358).

The spelling of 10217210157 in words is "ten billion, two hundred seventeen million, two hundred ten thousand, one hundred fifty-seven".