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101152331148 = 2231141157119047
BaseRepresentation
bin101111000110100100…
…1100001010110001100
3100200002110221211102010
41132031021201112030
53124124444044043
6114245125301220
710210435425351
oct1361511412614
9320073854363
10101152331148
11399979435a0
121772b864810
1397004838ab
144c78102628
1529704ab133
hex178d26158c

101152331148 has 96 divisors (see below), whose sum is σ = 265440849408. Its totient is φ = 29713881600.

The previous prime is 101152331011. The next prime is 101152331171. The reversal of 101152331148 is 841133251101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790161 + ... + 909207.

It is an arithmetic number, because the mean of its divisors is an integer number (2765008848).

Almost surely, 2101152331148 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 101152331148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132720424704).

101152331148 is an abundant number, since it is smaller than the sum of its proper divisors (164288518260).

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

101152331148 is a wasteful number, since it uses less digits than its factorization.

101152331148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119263 (or 119261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 101152331148 its reverse (841133251101), we get a palindrome (942285582249).

The spelling of 101152331148 in words is "one hundred one billion, one hundred fifty-two million, three hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 157 164 246 314 451 471 492 628 902 942 1353 1727 1804 1884 2706 3454 5181 5412 6437 6908 10362 12874 19311 20724 25748 38622 70807 77244 119047 141614 212421 238094 283228 357141 424842 476188 714282 849684 1309517 1428564 2619034 3928551 4880927 5238068 7857102 9761854 14642781 15714204 18690379 19523708 29285562 37380758 53690197 56071137 58571124 74761516 107380394 112142274 161070591 205594169 214760788 224284548 322141182 411188338 616782507 644282364 766305539 822376676 1233565014 1532611078 2298916617 2467130028 3065222156 4597833234 8429360929 9195666468 16858721858 25288082787 33717443716 50576165574 101152331148