Search a number
-
+
31102471920 = 2435139968741
BaseRepresentation
bin11100111101110110…
…100000111011110000
32222021120210021112110
4130331312200323300
51002144213100140
622142133525320
72150514435462
oct347566407360
988246707473
1031102471920
1112210597553
1260401a3840
132c188ccc50
141710a2c132
15c207ec380
hex73dda0ef0

31102471920 has 80 divisors (see below), whose sum is σ = 103834416672. Its totient is φ = 7655992320.

The previous prime is 31102471909. The next prime is 31102471927. The reversal of 31102471920 is 2917420113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102471927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4981251 + ... + 4987490.

Almost surely, 231102471920 is an apocalyptic number.

31102471920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31102471920 is an abundant number, since it is smaller than the sum of its proper divisors (72731944752).

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

31102471920 is a wasteful number, since it uses less digits than its factorization.

31102471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968770 (or 9968764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 31102471920 in words is "thirty-one billion, one hundred two million, four hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 9968741 19937482 29906223 39874964 49843705 59812446 79749928 99687410 119624892 129593633 149531115 159499856 199374820 239249784 259187266 299062230 388780899 398749640 478499568 518374532 598124460 647968165 777561798 797499280 1036749064 1196248920 1295936330 1555123596 1943904495 2073498128 2392497840 2591872660 3110247192 3887808990 5183745320 6220494384 7775617980 10367490640 15551235960 31102471920