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101204100140 = 2251113281125929
BaseRepresentation
bin101111001000000111…
…1000000010000101100
3100200020002100222010012
41132100033000100230
53124231222201030
6114254215032352
710211634441353
oct1362017002054
9320202328105
10101204100140
1139a14092390
121774506b6b8
13970b10b230
144c80d3a99a
152974cd5095
hex17903c042c

101204100140 has 96 divisors (see below), whose sum is σ = 250574506560. Its totient is φ = 33849446400.

The previous prime is 101204100139. The next prime is 101204100181. The reversal of 101204100140 is 41001402101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740696 + ... + 866624.

It is an arithmetic number, because the mean of its divisors is an integer number (2610151110).

Almost surely, 2101204100140 is an apocalyptic number.

101204100140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101204100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125287253280).

101204100140 is an abundant number, since it is smaller than the sum of its proper divisors (149370406420).

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

101204100140 is a wasteful number, since it uses less digits than its factorization.

101204100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126243 (or 126241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101204100140 its reverse (41001402101), we get a palindrome (142205502241).

The spelling of 101204100140 in words is "one hundred one billion, two hundred four million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 281 286 562 572 715 1124 1405 1430 2810 2860 3091 3653 5620 6182 7306 12364 14612 15455 18265 30910 36530 40183 61820 73060 80366 125929 160732 200915 251858 401830 503716 629645 803660 1259290 1385219 1637077 2518580 2770438 3274154 5540876 6548308 6926095 8185385 13852190 16370770 18007847 27704380 32741540 35386049 36015694 70772098 72031388 90039235 141544196 176930245 180078470 353860490 360156940 389246539 460018637 707720980 778493078 920037274 1556986156 1840074548 1946232695 2300093185 3892465390 4600186370 5060205007 7784930780 9200372740 10120410014 20240820028 25301025035 50602050070 101204100140