Search a number
-
+
100340148700 = 225211412224837
BaseRepresentation
bin101110101110010111…
…1010010100111011100
3100120222212200200112201
41131130233102213130
53120444034224300
6114032353341244
710151344122451
oct1353457224734
9316885620481
10100340148700
1139610441930
1217543867824
13960112696c
144bdc2c5828
15292402966a
hex175cbd29dc

100340148700 has 72 divisors (see below), whose sum is σ = 243326082384. Its totient is φ = 35597376000.

The previous prime is 100340148661. The next prime is 100340148743. The reversal of 100340148700 is 7841043001.

It is a super-2 number, since 2×1003401487002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067319 + ... + 1157518.

It is an arithmetic number, because the mean of its divisors is an integer number (3379528922).

Almost surely, 2100340148700 is an apocalyptic number.

100340148700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100340148700 is an abundant number, since it is smaller than the sum of its proper divisors (142985933684).

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

100340148700 is a wasteful number, since it uses less digits than its factorization.

100340148700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224903 (or 2224896 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 100340148700 in words is "one hundred billion, three hundred forty million, one hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 2224837 4449674 8899348 11124185 22248370 24473207 44496740 48946414 55620925 91218317 97892828 111241850 122366035 182436634 222483700 244732070 364873268 456091585 489464140 611830175 912183170 1003401487 1223660350 1824366340 2006802974 2280457925 2447320700 4013605948 4560915850 5017007435 9121831700 10034014870 20068029740 25085037175 50170074350 100340148700