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101553552231 = 34315126919381
BaseRepresentation
bin101111010010100010…
…0000011101101100111
3100201010102220222021020
41132211010003231213
53130440202132411
6114353021022223
710223406644205
oct1364504035547
9321112828236
10101553552231
113a08337296a
12178220b4973
139765631c11
144cb5504075
152995811606
hex17a5103b67

101553552231 has 32 divisors (see below), whose sum is σ = 139996961280. Its totient is φ = 65442384000.

The previous prime is 101553552229. The next prime is 101553552259. The reversal of 101553552231 is 132255355101.

It is a happy number.

It is not a de Polignac number, because 101553552231 - 21 = 101553552229 is a prime.

It is a super-2 number, since 2×1015535522312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101553552192 and 101553552201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101553552211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5230161 + ... + 5249541.

It is an arithmetic number, because the mean of its divisors is an integer number (4374905040).

Almost surely, 2101553552231 is an apocalyptic number.

101553552231 is a deficient number, since it is larger than the sum of its proper divisors (38443409049).

101553552231 is a wasteful number, since it uses less digits than its factorization.

101553552231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19847.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 101553552231 in words is "one hundred one billion, five hundred fifty-three million, five hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 43 129 151 269 453 807 6493 11567 19381 19479 34701 40619 58143 121857 833383 1746617 2500149 2926531 5213489 5239851 8779593 15640467 125840833 224180027 377522499 672540081 787236839 2361710517 33851184077 101553552231