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141172130100 = 2235223191107119
BaseRepresentation
bin1000001101111010000…
…0111100000100110100
3111111101112021020222010
42003132200330010310
54303110031130400
6144504212404220
713125243210141
oct2033640740464
9444345236863
10141172130100
1154963a94901
122343a316670
131040a678bc1
146b931853c8
153a13aa4450
hex20de83c134

141172130100 has 144 divisors (see below), whose sum is σ = 428452577280. Its totient is φ = 35820259200.

The previous prime is 141172130063. The next prime is 141172130137. The reversal of 141172130100 is 1031271141.

It is an interprime number because it is at equal distance from previous prime (141172130063) and next prime (141172130137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264341 + ... + 1371459.

It is an arithmetic number, because the mean of its divisors is an integer number (2975365120).

Almost surely, 2141172130100 is an apocalyptic number.

141172130100 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 141172130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214226288640).

141172130100 is an abundant number, since it is smaller than the sum of its proper divisors (287280447180).

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

141172130100 is a wasteful number, since it uses less digits than its factorization.

141172130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107350 (or 107343 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 141172130100 in words is "one hundred forty-one billion, one hundred seventy-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 191 230 276 300 345 382 460 573 575 690 764 955 1146 1150 1380 1725 1910 2292 2300 2865 3450 3820 4393 4775 5730 6900 8786 9550 11460 13179 14325 17572 19100 21965 26358 28650 43930 52716 57300 65895 87860 107119 109825 131790 214238 219650 263580 321357 329475 428476 439300 535595 642714 658950 1071190 1285428 1317900 1606785 2142380 2463737 2677975 3213570 4927474 5355950 6427140 7391211 8033925 9854948 10711900 12318685 14782422 16067850 20459729 24637370 29564844 32135700 36956055 40919458 49274740 61379187 61593425 73912110 81838916 102298645 122758374 123186850 147824220 184780275 204597290 245516748 246373700 306895935 369560550 409194580 470573767 511493225 613791870 739121100 941147534 1022986450 1227583740 1411721301 1534479675 1882295068 2045972900 2352868835 2823442602 3068959350 4705737670 5646885204 6137918700 7058606505 9411475340 11764344175 14117213010 23528688350 28234426020 35293032525 47057376700 70586065050 141172130100