Search a number
-
+
31322233320 = 2335738995857
BaseRepresentation
bin11101001010111100…
…110101100111101000
32222211220022022111120
4131022330311213220
51003121442431240
622220024055240
72156123406330
oct351274654750
988756268446
1031322233320
1112313647544
1260a1904520
132c522b5b91
141731cb60c0
15c34c5bad0
hex74af359e8

31322233320 has 128 divisors (see below), whose sum is σ = 107667705600. Its totient is φ = 7140888576.

The previous prime is 31322233303. The next prime is 31322233331. The reversal of 31322233320 is 2333222313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278832 + ... + 374688.

It is an arithmetic number, because the mean of its divisors is an integer number (841153950).

Almost surely, 231322233320 is an apocalyptic number.

31322233320 is a gapful number since it is divisible by the number (30) 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 31322233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833852800).

31322233320 is an abundant number, since it is smaller than the sum of its proper divisors (76345472280).

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

31322233320 is a wasteful number, since it uses less digits than its factorization.

31322233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96267 (or 96263 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31322233320 its reverse (2333222313), we get a palindrome (33655455633).

The spelling of 31322233320 in words is "thirty-one billion, three hundred twenty-two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 389 420 778 840 1167 1556 1945 2334 2723 3112 3890 4668 5446 5835 7780 8169 9336 10892 11670 13615 15560 16338 21784 23340 27230 32676 40845 46680 54460 65352 81690 95857 108920 163380 191714 287571 326760 383428 479285 575142 670999 766856 958570 1150284 1341998 1437855 1917140 2012997 2300568 2683996 2875710 3354995 3834280 4025994 5367992 5751420 6709990 8051988 10064985 11502840 13419980 16103976 20129970 26839960 37288373 40259940 74576746 80519880 111865119 149153492 186441865 223730238 261018611 298306984 372883730 447460476 522037222 559325595 745767460 783055833 894920952 1044074444 1118651190 1305093055 1491534920 1566111666 2088148888 2237302380 2610186110 3132223332 3915279165 4474604760 5220372220 6264446664 7830558330 10440744440 15661116660 31322233320