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141372100 = 2252292412
BaseRepresentation
bin10000110110100…
…10101011000100
3100212000110001201
420123102223010
5242142401400
622010032244
73334433362
oct1033225304
9325013051
10141372100
1172889a51
123b418684
132339aa3c
1414ac0632
15c62806a
hex86d2ac4

141372100 has 81 divisors (see below), whose sum is σ = 325659061. Its totient is φ = 53267200.

The previous prime is 141372073. The next prime is 141372107. The reversal of 141372100 is 1273141.

The square root of 141372100 is 11890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 139854276 + 1517824 = 11826^2 + 1232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141372107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3448080 + ... + 3448120.

Almost surely, 2141372100 is an apocalyptic number.

141372100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141372100 is the 11890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141372100

141372100 is an abundant number, since it is smaller than the sum of its proper divisors (184286961).

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

141372100 is a wasteful number, since it uses less digits than its factorization.

141372100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The cubic root of 141372100 is about 520.9402367583.

The spelling of 141372100 in words is "one hundred forty-one million, three hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 841 1025 1189 1450 1681 1682 2050 2378 2900 3362 3364 4100 4205 4756 5945 6724 8405 8410 11890 16810 16820 21025 23780 29725 33620 34481 42025 42050 48749 59450 68962 84050 84100 97498 118900 137924 168100 172405 194996 243745 344810 487490 689620 862025 974980 1218725 1413721 1724050 2437450 2827442 3448100 4874900 5654884 7068605 14137210 28274420 35343025 70686050 141372100