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10132034202 = 2381940639
BaseRepresentation
bin10010110111110101…
…01001001010011010
3222011010012200000000
421123322221022122
5131222300043302
64353220353430
7506036604213
oct113372511232
928133180000
1010132034202
11432a2a6294
121b69245876
13c56168b14
146c18d240a
153e478e31c
hex25bea929a

10132034202 has 72 divisors (see below), whose sum is σ = 23996294400. Its totient is φ = 3199511016.

The previous prime is 10132034191. The next prime is 10132034207. The reversal of 10132034202 is 20243023101.

10132034202 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 342 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10132034207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228999 + ... + 269637.

Almost surely, 210132034202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132034202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11998147200).

10132034202 is an abundant number, since it is smaller than the sum of its proper divisors (13864260198).

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

10132034202 is an frugal number, since it uses more digits than its factorization.

10132034202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40684 (or 40663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132034202 its reverse (20243023101), we get a palindrome (30375057303).

The spelling of 10132034202 in words is "ten billion, one hundred thirty-two million, thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 2187 3078 4374 4617 6561 9234 13122 13851 27702 40639 41553 81278 83106 121917 124659 243834 249318 365751 731502 772141 1097253 1544282 2194506 2316423 3291759 4632846 6583518 6949269 9875277 13898538 19750554 20847807 29625831 41695614 59251662 62543421 88877493 125086842 177754986 187630263 266632479 375260526 533264958 562890789 1125781578 1688672367 3377344734 5066017101 10132034202