Search a number
-
+
121755744357 = 31373831373761
BaseRepresentation
bin111000101100100110…
…1010011100001100101
3102122021100220122222020
41301121031103201211
53443323432304412
6131533412053353
711540135515422
oct1613115234145
9378240818866
10121755744357
11476aaa41915
121b71b904259
13b634b80860
145c705bcd49
1532791bb18c
hex1c59353865

121755744357 has 64 divisors (see below), whose sum is σ = 180716126976. Its totient is φ = 72457666560.

The previous prime is 121755744301. The next prime is 121755744389. The reversal of 121755744357 is 753447557121.

It is not a de Polignac number, because 121755744357 - 28 = 121755744101 is a prime.

It is a super-2 number, since 2×1217557443572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121755740357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32371357 + ... + 32375117.

It is an arithmetic number, because the mean of its divisors is an integer number (2823689484).

Almost surely, 2121755744357 is an apocalyptic number.

It is an amenable number.

121755744357 is a deficient number, since it is larger than the sum of its proper divisors (58960382619).

121755744357 is a wasteful number, since it uses less digits than its factorization.

121755744357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070.

The product of its digits is 4116000, while the sum is 51.

The spelling of 121755744357 in words is "one hundred twenty-one billion, seven hundred fifty-five million, seven hundred forty-four thousand, three hundred fifty-seven".

Divisors: 1 3 13 39 73 83 137 219 249 411 949 1079 1781 2847 3237 3761 5343 6059 10001 11283 11371 18177 30003 34113 48893 78767 130013 146679 147823 236301 274553 312163 390039 443469 515257 823659 830083 936489 1545771 2490249 3569189 4058119 6698341 10707567 10791079 12174357 20095023 22787899 32373237 37613761 42766331 68363697 112841283 128298993 296242687 488978893 555962303 888728061 1466936679 1667886909 3121942163 9365826489 40585248119 121755744357