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121331940 = 223529103677
BaseRepresentation
bin1110011101101…
…10000011100100
322110022022010120
413032312003210
5222030110230
620012321540
73002206302
oct716660344
9273268116
10121331940
1162541534
12347732b0
131c1a2262
1412185272
15a9ba310
hex73b60e4

121331940 has 96 divisors (see below), whose sum is σ = 355380480. Its totient is φ = 30890496.

The previous prime is 121331927. The next prime is 121331983. The reversal of 121331940 is 49133121.

It is a self number, because there is not a number n which added to its sum of digits gives 121331940.

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, 178882 + ... + 179558.

It is an arithmetic number, because the mean of its divisors is an integer number (3701880).

Almost surely, 2121331940 is an apocalyptic number.

121331940 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 121331940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177690240).

121331940 is an abundant number, since it is smaller than the sum of its proper divisors (234048540).

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

121331940 is a wasteful number, since it uses less digits than its factorization.

121331940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 121331940 is about 11015.0778481135. The cubic root of 121331940 is about 495.0606190428.

It can be divided in two parts, 1213 and 31940, that added together give a triangular number (33153 = T257).

The spelling of 121331940 in words is "one hundred twenty-one million, three hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 103 116 145 174 206 290 309 348 412 435 515 580 618 677 870 1030 1236 1354 1545 1740 2031 2060 2708 2987 3090 3385 4062 5974 6180 6770 8124 8961 10155 11948 13540 14935 17922 19633 20310 29870 35844 39266 40620 44805 58899 59740 69731 78532 89610 98165 117798 139462 179220 196330 209193 235596 278924 294495 348655 392660 418386 588990 697310 836772 1045965 1177980 1394620 2022199 2091930 4044398 4183860 6066597 8088796 10110995 12133194 20221990 24266388 30332985 40443980 60665970 121331940